53768900 has 36 divisors (see below), whose sum is σ = 120708420. Its totient is φ = 20764800.

The previous prime is 53768873. The next prime is 53768927. The reversal of 53768900 is 986735.

It is an interprime number because it is at equal distance from previous prime (53768873) and next prime (53768927).

It can be written as a sum of positive squares in 6 ways, for example, as 1119364 + 52649536 = 1058^2 + 7256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6371 + ... + 12170.

Almost surely, 2^53768900 is an apocalyptic number.

53768900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53768900 is an abundant number, since it is smaller than the sum of its proper divisors (66939520).

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

53768900 is a wasteful number, since it uses less digits than its factorization.

53768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18584 (or 18577 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 53768900 is about 7332.7280053197. The cubic root of 53768900 is about 377.4363443974.

The spelling of 53768900 in words is "fifty-three million, seven hundred sixty-eight thousand, nine hundred".