164861600 has 36 divisors (see below), whose sum is σ = 402470334. Its totient is φ = 65944320.

The previous prime is 164861591. The next prime is 164861611. The reversal of 164861600 is 6168461.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 99121936 + 65739664 = 9956^2 + 8108^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102239 + ... + 103838.

Almost surely, 2^164861600 is an apocalyptic number.

164861600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164861600 is an abundant number, since it is smaller than the sum of its proper divisors (237608734).

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

164861600 is a wasteful number, since it uses less digits than its factorization.

164861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206097 (or 206084 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 164861600 is about 12839.8442358153. The cubic root of 164861600 is about 548.3272593713.

The spelling of 164861600 in words is "one hundred sixty-four million, eight hundred sixty-one thousand, six hundred".