53612640 has 144 divisors (see below), whose sum is σ = 189012096. Its totient is φ = 13824000.

The previous prime is 53612591. The next prime is 53612641. The reversal of 53612640 is 4621635.

53612640 is a `hidden beast` number, since 5 + 3 + 6 + 12 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53612641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44040 + ... + 45240.

It is an arithmetic number, because the mean of its divisors is an integer number (1312584).

Almost surely, 2^53612640 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 53612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94506048).

53612640 is an abundant number, since it is smaller than the sum of its proper divisors (135399456).

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

53612640 is a wasteful number, since it uses less digits than its factorization.

53612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53612640 is about 7322.0652824186. The cubic root of 53612640 is about 377.0703619020.

It can be divided in two parts, 5361 and 2640, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 53612640 in words is "fifty-three million, six hundred twelve thousand, six hundred forty".