164491800 has 96 divisors (see below), whose sum is σ = 556303680. Its totient is φ = 39875200.

The previous prime is 164491787. The next prime is 164491801. The reversal of 164491800 is 8194461.

164491800 is digitally balanced in base 2 and base 3, because in such bases 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164491801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5862 + ... + 19061.

It is an arithmetic number, because the mean of its divisors is an integer number (5794830).

Almost surely, 2^164491800 is an apocalyptic number.

164491800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164491800 is an abundant number, since it is smaller than the sum of its proper divisors (391811880).

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

164491800 is a wasteful number, since it uses less digits than its factorization.

164491800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24953 (or 24944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 164491800 is about 12825.4356651149. The cubic root of 164491800 is about 547.9169693230.

The spelling of 164491800 in words is "one hundred sixty-four million, four hundred ninety-one thousand, eight hundred".