164940800 has 132 divisors (see below), whose sum is σ = 434045880. Its totient is φ = 61931520.

The previous prime is 164940793. The next prime is 164940883. The reversal of 164940800 is 8049461.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435011 + ... + 435389.

Almost surely, 2^164940800 is an apocalyptic number.

164940800 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 164940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217022940).

164940800 is an abundant number, since it is smaller than the sum of its proper divisors (269105080).

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

164940800 is a wasteful number, since it uses less digits than its factorization.

164940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

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

The square root of 164940800 is about 12842.9280150595. The cubic root of 164940800 is about 548.4150513264.

The spelling of 164940800 in words is "one hundred sixty-four million, nine hundred forty thousand, eight hundred".