1000947672 has 128 divisors (see below), whose sum is σ = 2928614400. Its totient is φ = 316141056.

The previous prime is 1000947671. The next prime is 1000947707. The reversal of 1000947672 is 2767490001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000947671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560493 + ... + 562275.

It is an arithmetic number, because the mean of its divisors is an integer number (22879800).

Almost surely, 2^1000947672 is an apocalyptic number.

1000947672 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 1000947672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464307200).

1000947672 is an abundant number, since it is smaller than the sum of its proper divisors (1927666728).

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

1000947672 is a wasteful number, since it uses less digits than its factorization.

1000947672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1000947672 is about 31637.7570633571. The cubic root of 1000947672 is about 1000.3157909323.

The spelling of 1000947672 in words is "one billion, nine hundred forty-seven thousand, six hundred seventy-two".