1000164672 has 392 divisors, whose sum is σ = 3428076456. Its totient is φ = 286654464.

The previous prime is 1000164667. The next prime is 1000164679. The reversal of 1000164672 is 2764610001.

1000164672 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 646 + 7 + 2 = 666.

1000164672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98724096 + 901440576 = 9936^2 + 30024^2 .

It is a super-2 number, since 2×1000164672² = 2000658742233735168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000164679) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10310928 + ... + 10311024.

It is an arithmetic number, because the mean of its divisors is an integer number (8745093).

Almost surely, 2^1000164672 is an apocalyptic number.

1000164672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714038228).

1000164672 is an abundant number, since it is smaller than the sum of its proper divisors (2427911784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000164672 is an equidigital number, since it uses as much as digits as its factorization.

1000164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1000164672 is about 31625.3801874381. The cubic root of 1000164672 is about 1000.0548876540.

Adding to 1000164672 its reverse (2764610001), we get a palindrome (3764774673).

The spelling of 1000164672 in words is "one billion, one hundred sixty-four thousand, six hundred seventy-two".