1000164600 has 144 divisors (see below), whose sum is σ = 3377462400. Its totient is φ = 265236480.

The previous prime is 1000164593. The next prime is 1000164623. The reversal of 1000164600 is 64610001.

1000164600 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 64 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 345961 + ... + 348839.

It is an arithmetic number, because the mean of its divisors is an integer number (23454600).

Almost surely, 2^1000164600 is an apocalyptic number.

1000164600 is a gapful number since it is divisible by the number (10) 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 1000164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688731200).

1000164600 is an abundant number, since it is smaller than the sum of its proper divisors (2377297800).

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

1000164600 is a wasteful number, since it uses less digits than its factorization.

1000164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1000164600 is about 31625.3790491118. The cubic root of 1000164600 is about 1000.0548636566.

Adding to 1000164600 its reverse (64610001), we get a palindrome (1064774601).

It can be divided in two parts, 1000 and 164600, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 1000164600 in words is "one billion, one hundred sixty-four thousand, six hundred".