152624640 has 320 divisors, whose sum is σ = 593961984. Its totient is φ = 32636928.

The previous prime is 152624629. The next prime is 152624669. The reversal of 152624640 is 46426251.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152624598 and 152624607.

It is a congruent number.

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, 913837 + ... + 914003.

Almost surely, 2^152624640 is an apocalyptic number.

152624640 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 152624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

152624640 is an abundant number, since it is smaller than the sum of its proper divisors (441337344).

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

152624640 is a wasteful number, since it uses less digits than its factorization.

152624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 152624640 is about 12354.1345305934. The cubic root of 152624640 is about 534.4103790399.

The spelling of 152624640 in words is "one hundred fifty-two million, six hundred twenty-four thousand, six hundred forty".