164115600 has 120 divisors (see below), whose sum is σ = 573555552. Its totient is φ = 39782400.

The previous prime is 164115583. The next prime is 164115617. The reversal of 164115600 is 6511461.

It is an interprime number because it is at equal distance from previous prime (164115583) and next prime (164115617).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6984 + ... + 19416.

Almost surely, 2^164115600 is an apocalyptic number.

164115600 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 164115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286777776).

164115600 is an abundant number, since it is smaller than the sum of its proper divisors (409439952).

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

164115600 is a wasteful number, since it uses less digits than its factorization.

164115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12454 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 164115600 is about 12810.7611015115. The cubic root of 164115600 is about 547.4989470591.

The spelling of 164115600 in words is "one hundred sixty-four million, one hundred fifteen thousand, six hundred".