53607456 has 72 divisors (see below), whose sum is σ = 174230784. Its totient is φ = 15315840.

The previous prime is 53607451. The next prime is 53607469. The reversal of 53607456 is 65470635.

53607456 is a `hidden beast` number, since 5 + 3 + 607 + 45 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53607456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53607451) 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, 11280 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (2419872).

Almost surely, 2^53607456 is an apocalyptic number.

53607456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

53607456 is an abundant number, since it is smaller than the sum of its proper divisors (120623328).

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

53607456 is a wasteful number, since it uses less digits than its factorization.

53607456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26614 (or 26603 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 53607456 is about 7321.7112753782. The cubic root of 53607456 is about 377.0582080780.

It can be divided in two parts, 536074 and 56, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 53607456 in words is "fifty-three million, six hundred seven thousand, four hundred fifty-six".