53713600 has 84 divisors (see below), whose sum is σ = 134645400. Its totient is φ = 21084160.

The previous prime is 53713571. The next prime is 53713609. The reversal of 53713600 is 631735.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53713609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94116 + ... + 94684.

Almost surely, 2^53713600 is an apocalyptic number.

53713600 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 53713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67322700).

53713600 is an abundant number, since it is smaller than the sum of its proper divisors (80931800).

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

53713600 is a wasteful number, since it uses less digits than its factorization.

53713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 53713600 is about 7328.9562694834. The cubic root of 53713600 is about 377.3069053259.

The spelling of 53713600 in words is "fifty-three million, seven hundred thirteen thousand, six hundred".