164002920 has 64 divisors (see below), whose sum is σ = 492851520. Its totient is φ = 43659264.

The previous prime is 164002913. The next prime is 164002921. The reversal of 164002920 is 29200461.

164002920 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 (24).

It is not an unprimeable number, because it can be changed into a prime (164002921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134152 + ... + 135368.

It is an arithmetic number, because the mean of its divisors is an integer number (7700805).

Almost surely, 2^164002920 is an apocalyptic number.

164002920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164002920 is an abundant number, since it is smaller than the sum of its proper divisors (328848600).

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

164002920 is a wasteful number, since it uses less digits than its factorization.

164002920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 164002920 is about 12806.3624812044. The cubic root of 164002920 is about 547.3736160814.

The spelling of 164002920 in words is "one hundred sixty-four million, two thousand, nine hundred twenty".