53913600 has 360 divisors, whose sum is σ = 215044830. Its totient is φ = 13271040.

The previous prime is 53913589. The next prime is 53913623. The reversal of 53913600 is 631935.

53913600 is a `hidden beast` number, since 53 + 9 + 1 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29942784 + 23970816 = 5472^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4147194 + ... + 4147206.

Almost surely, 2^53913600 is an apocalyptic number.

53913600 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 53913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107522415).

53913600 is an abundant number, since it is smaller than the sum of its proper divisors (161131230).

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

53913600 is a wasteful number, since it uses less digits than its factorization.

53913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 53913600 is about 7342.5880995736. The cubic root of 53913600 is about 377.7746199915.

The spelling of 53913600 in words is "fifty-three million, nine hundred thirteen thousand, six hundred".