164899800 has 384 divisors, whose sum is σ = 640584000. Its totient is φ = 39191040.

The previous prime is 164899799. The next prime is 164899853. The reversal of 164899800 is 8998461.

164899800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5686186 + ... + 5686214.

Almost surely, 2^164899800 is an apocalyptic number.

164899800 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 164899800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320292000).

164899800 is an abundant number, since it is smaller than the sum of its proper divisors (475684200).

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

164899800 is a wasteful number, since it uses less digits than its factorization.

164899800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 164899800 is about 12841.3317066416. The cubic root of 164899800 is about 548.3696069802.

The spelling of 164899800 in words is "one hundred sixty-four million, eight hundred ninety-nine thousand, eight hundred".