164755520 has 56 divisors (see below), whose sum is σ = 394801344. Its totient is φ = 65486336.

The previous prime is 164755501. The next prime is 164755523. The reversal of 164755520 is 25557461.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (164755523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51899 + ... + 54981.

It is an arithmetic number, because the mean of its divisors is an integer number (7050024).

Almost surely, 2^164755520 is an apocalyptic number.

164755520 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 164755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197400672).

164755520 is an abundant number, since it is smaller than the sum of its proper divisors (230045824).

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

164755520 is a wasteful number, since it uses less digits than its factorization.

164755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 164755520 is about 12835.7126798632. The cubic root of 164755520 is about 548.2096272971.

The spelling of 164755520 in words is "one hundred sixty-four million, seven hundred fifty-five thousand, five hundred twenty".