653794560 has 432 divisors, whose sum is σ = 2487139200. Its totient is φ = 157925376.

The previous prime is 653794549. The next prime is 653794571. The reversal of 653794560 is 65497356.

It is an interprime number because it is at equal distance from previous prime (653794549) and next prime (653794571).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347469 + ... + 6347571.

Almost surely, 2^653794560 is an apocalyptic number.

653794560 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 653794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243569600).

653794560 is an abundant number, since it is smaller than the sum of its proper divisors (1833344640).

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

653794560 is a wasteful number, since it uses less digits than its factorization.

653794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 653794560 is about 25569.4067197501. The cubic root of 653794560 is about 867.9214749126.

The spelling of 653794560 in words is "six hundred fifty-three million, seven hundred ninety-four thousand, five hundred sixty".