165624480 has 192 divisors, whose sum is σ = 662618880. Its totient is φ = 37850112.

The previous prime is 165624467. The next prime is 165624499. The reversal of 165624480 is 84426561.

165624480 is a `hidden beast` number, since 16 + 562 + 4 + 4 + 80 = 666.

165624480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27502 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (3451140).

Almost surely, 2^165624480 is an apocalyptic number.

165624480 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 165624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331309440).

165624480 is an abundant number, since it is smaller than the sum of its proper divisors (496994400).

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

165624480 is a wasteful number, since it uses less digits than its factorization.

165624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5508 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 165624480 is about 12869.5174734720. The cubic root of 165624480 is about 549.1717340251.

The spelling of 165624480 in words is "one hundred sixty-five million, six hundred twenty-four thousand, four hundred eighty".