164954880 has 360 divisors, whose sum is σ = 620288592. Its totient is φ = 41803776.

The previous prime is 164954879. The next prime is 164954891. The reversal of 164954880 is 88459461.

164954880 is a `hidden beast` number, since 164 + 9 + 5 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×164954880² = 54420224871628800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3836139 + ... + 3836181.

Almost surely, 2^164954880 is an apocalyptic number.

164954880 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 164954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310144296).

164954880 is an abundant number, since it is smaller than the sum of its proper divisors (455333712).

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

164954880 is an equidigital number, since it uses as much as digits as its factorization.

164954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 164954880 is about 12843.4761649641. The cubic root of 164954880 is about 548.4306558427.

The spelling of 164954880 in words is "one hundred sixty-four million, nine hundred fifty-four thousand, eight hundred eighty".