653856960 has 224 divisors, whose sum is σ = 2172321792. Its totient is φ = 166440960.

The previous prime is 653856947. The next prime is 653856961. The reversal of 653856960 is 69658356.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (653856961) 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, 3779434 + ... + 3779606.

Almost surely, 2^653856960 is an apocalyptic number.

653856960 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 653856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086160896).

653856960 is an abundant number, since it is smaller than the sum of its proper divisors (1518464832).

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

653856960 is a wasteful number, since it uses less digits than its factorization.

653856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 653856960 is about 25570.6268988463. The cubic root of 653856960 is about 867.9490863268.

The spelling of 653856960 in words is "six hundred fifty-three million, eight hundred fifty-six thousand, nine hundred sixty".