164413080 has 288 divisors, whose sum is σ = 620146800. Its totient is φ = 37449216.

The previous prime is 164413063. The next prime is 164413133. The reversal of 164413080 is 80314461.

164413080 is a `hidden beast` number, since 1 + 644 + 13 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×164413080³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3823539 + ... + 3823581.

Almost surely, 2^164413080 is an apocalyptic number.

164413080 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 164413080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310073400).

164413080 is an abundant number, since it is smaller than the sum of its proper divisors (455733720).

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

164413080 is a wasteful number, since it uses less digits than its factorization.

164413080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 164413080 is about 12822.3663962624. The cubic root of 164413080 is about 547.8295507685.

The spelling of 164413080 in words is "one hundred sixty-four million, four hundred thirteen thousand, eighty".