653687468 has 96 divisors (see below), whose sum is σ = 1439907840. Its totient is φ = 253301760.

The previous prime is 653687431. The next prime is 653687471. The reversal of 653687468 is 864786356.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364453 + ... + 1364931.

It is an arithmetic number, because the mean of its divisors is an integer number (14999040).

Almost surely, 2^653687468 is an apocalyptic number.

653687468 is a gapful number since it is divisible by the number (68) 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 653687468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

653687468 is an abundant number, since it is smaller than the sum of its proper divisors (786220372).

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

653687468 is a wasteful number, since it uses less digits than its factorization.

653687468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 53.

The square root of 653687468 is about 25567.3124907566. The cubic root of 653687468 is about 867.8740836128.

The spelling of 653687468 in words is "six hundred fifty-three million, six hundred eighty-seven thousand, four hundred sixty-eight".