652506624 has 320 divisors, whose sum is σ = 2411988480. Its totient is φ = 169205760.

The previous prime is 652506623. The next prime is 652506643. The reversal of 652506624 is 426605256.

652506624 is a `hidden beast` number, since 6 + 5 + 25 + 0 + 6 + 624 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652506623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1064142 + ... + 1064754.

It is an arithmetic number, because the mean of its divisors is an integer number (7537464).

Almost surely, 2^652506624 is an apocalyptic number.

652506624 is a gapful number since it is divisible by the number (64) 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 652506624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205994240).

652506624 is an abundant number, since it is smaller than the sum of its proper divisors (1759481856).

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

652506624 is a wasteful number, since it uses less digits than its factorization.

652506624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 652506624 is about 25544.2092067850. The cubic root of 652506624 is about 867.3511825491.

The spelling of 652506624 in words is "six hundred fifty-two million, five hundred six thousand, six hundred twenty-four".