653666400 has 108 divisors (see below), whose sum is σ = 2305016532. Its totient is φ = 174309120.

The previous prime is 653666389. The next prime is 653666401. The reversal of 653666400 is 4666356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653666401) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 38194 + ... + 52593.

Almost surely, 2^653666400 is an apocalyptic number.

653666400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653666400 is an abundant number, since it is smaller than the sum of its proper divisors (1651350132).

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

653666400 is a wasteful number, since it uses less digits than its factorization.

653666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90813 (or 90797 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 653666400 is about 25566.9004769839. The cubic root of 653666400 is about 867.8647598057.

The spelling of 653666400 in words is "six hundred fifty-three million, six hundred sixty-six thousand, four hundred".