653666496 has 224 divisors, whose sum is σ = 2114580480. Its totient is φ = 174182400.

The previous prime is 653666479. The next prime is 653666513. The reversal of 653666496 is 694666356.

It is an interprime number because it is at equal distance from previous prime (653666479) and next prime (653666513).

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207986 + ... + 1208526.

Almost surely, 2^653666496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653666496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057290240).

653666496 is an abundant number, since it is smaller than the sum of its proper divisors (1460913984).

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

653666496 is a wasteful number, since it uses less digits than its factorization.

653666496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The square root of 653666496 is about 25566.9023544113. The cubic root of 653666496 is about 867.8648022917.

The spelling of 653666496 in words is "six hundred fifty-three million, six hundred sixty-six thousand, four hundred ninety-six".