53612400 has 120 divisors (see below), whose sum is σ = 175901440. Its totient is φ = 13950720.

The previous prime is 53612393. The next prime is 53612411. The reversal of 53612400 is 421635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51081 + ... + 52119.

Almost surely, 2^53612400 is an apocalyptic number.

53612400 is a gapful number since it is divisible by the number (50) 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 53612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87950720).

53612400 is an abundant number, since it is smaller than the sum of its proper divisors (122289040).

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

53612400 is a wasteful number, since it uses less digits than its factorization.

53612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 53612400 is about 7322.0488935816. The cubic root of 53612400 is about 377.0697992422.

The spelling of 53612400 in words is "fifty-three million, six hundred twelve thousand, four hundred".