164932560 has 240 divisors, whose sum is σ = 607711104. Its totient is φ = 39840768.

The previous prime is 164932549. The next prime is 164932571. The reversal of 164932560 is 65239461.

It is a happy number.

164932560 is a `hidden beast` number, since 1 + 6 + 4 + 93 + 2 + 560 = 666.

164932560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164932549) and next prime (164932571).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 626989 + ... + 627251.

Almost surely, 2^164932560 is an apocalyptic number.

164932560 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 164932560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552).

164932560 is an abundant number, since it is smaller than the sum of its proper divisors (442778544).

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

164932560 is a wasteful number, since it uses less digits than its factorization.

164932560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 164932560 is about 12842.6072119333. The cubic root of 164932560 is about 548.4059187259.

The spelling of 164932560 in words is "one hundred sixty-four million, nine hundred thirty-two thousand, five hundred sixty".