53602560 has 360 divisors, whose sum is σ = 213687936. Its totient is φ = 12718080.

The previous prime is 53602541. The next prime is 53602579. The reversal of 53602560 is 6520635.

53602560 is a `hidden beast` number, since 5 + 3 + 602 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53602541) and next prime (53602579).

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 39 ways as a sum of consecutive naturals, for example, 1140457 + ... + 1140503.

Almost surely, 2^53602560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968).

53602560 is an abundant number, since it is smaller than the sum of its proper divisors (160085376).

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

53602560 is a wasteful number, since it uses less digits than its factorization.

53602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53602560 is about 7321.3769196784. The cubic root of 53602560 is about 377.0467287471.

The spelling of 53602560 in words is "fifty-three million, six hundred two thousand, five hundred sixty".