53506560 has 80 divisors (see below), whose sum is σ = 171078336. Its totient is φ = 14266368.

The previous prime is 53506553. The next prime is 53506567. The reversal of 53506560 is 6560535.

It is an interprime number because it is at equal distance from previous prime (53506553) and next prime (53506567).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (53506567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4197 + ... + 11163.

Almost surely, 2^53506560 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 53506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85539168).

53506560 is an abundant number, since it is smaller than the sum of its proper divisors (117571776).

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

53506560 is an equidigital number, since it uses as much as digits as its factorization.

53506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6993 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 53506560 is about 7314.8178377865. The cubic root of 53506560 is about 376.8215024625.

The spelling of 53506560 in words is "fifty-three million, five hundred six thousand, five hundred sixty".