652981824 has 252 divisors, whose sum is σ = 2139616752. Its totient is φ = 197303040.

The previous prime is 652981811. The next prime is 652981841. The reversal of 652981824 is 428189256.

652981824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 652981824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1881619 + ... + 1881965.

Almost surely, 2^652981824 is an apocalyptic number.

652981824 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 652981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069808376).

652981824 is an abundant number, since it is smaller than the sum of its proper divisors (1486634928).

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

652981824 is a wasteful number, since it uses less digits than its factorization.

652981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 652981824 is about 25553.5090349643. The cubic root of 652981824 is about 867.5616862955.

The spelling of 652981824 in words is "six hundred fifty-two million, nine hundred eighty-one thousand, eight hundred twenty-four".