164167920 has 120 divisors (see below), whose sum is σ = 630111456. Its totient is φ = 37522944.

The previous prime is 164167919. The next prime is 164167957. The reversal of 164167920 is 29761461.

164167920 is a `hidden beast` number, since 1 + 641 + 6 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×164167920² = 53902211914252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11247 + ... + 21326.

Almost surely, 2^164167920 is an apocalyptic number.

164167920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164167920 is an abundant number, since it is smaller than the sum of its proper divisors (465943536).

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

164167920 is a wasteful number, since it uses less digits than its factorization.

164167920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32599 (or 32590 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 164167920 is about 12812.8029720276. The cubic root of 164167920 is about 547.5571217064.

It can be divided in two parts, 16416 and 7920, that added together give a square (24336 = 156²).

The spelling of 164167920 in words is "one hundred sixty-four million, one hundred sixty-seven thousand, nine hundred twenty".