164960400 has 120 divisors (see below), whose sum is σ = 576507744. Its totient is φ = 39987200.

The previous prime is 164960399. The next prime is 164960447. The reversal of 164960400 is 4069461.

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 (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6952 + ... + 19448.

Almost surely, 2^164960400 is an apocalyptic number.

164960400 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 164960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288253872).

164960400 is an abundant number, since it is smaller than the sum of its proper divisors (411547344).

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

164960400 is a wasteful number, since it uses less digits than its factorization.

164960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12529 (or 12518 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 164960400 is about 12843.6910582589. The cubic root of 164960400 is about 548.4367732801.

The spelling of 164960400 in words is "one hundred sixty-four million, nine hundred sixty thousand, four hundred".