652967040 has 256 divisors, whose sum is σ = 2326579200. Its totient is φ = 154398720.

The previous prime is 652967027. The next prime is 652967041. The reversal of 652967040 is 40769256.

652967040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 652967040.

It is not an unprimeable number, because it can be changed into a prime (652967041) 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, 907801 + ... + 908519.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2^652967040 is an apocalyptic number.

652967040 is a gapful number since it is divisible by the number (60) 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 652967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

652967040 is an abundant number, since it is smaller than the sum of its proper divisors (1673612160).

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

652967040 is a wasteful number, since it uses less digits than its factorization.

652967040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 652967040 is about 25553.2197579874. The cubic root of 652967040 is about 867.5551388296. Note that the first 3 decimals are identical.

The spelling of 652967040 in words is "six hundred fifty-two million, nine hundred sixty-seven thousand, forty".