53868960 has 72 divisors (see below), whose sum is σ = 183832740. Its totient is φ = 14364672.

The previous prime is 53868959. The next prime is 53868961. The reversal of 53868960 is 6986835.

It is an interprime number because it is at equal distance from previous prime (53868959) and next prime (53868961).

It can be written as a sum of positive squares in 2 ways, for example, as 45643536 + 8225424 = 6756^2 + 2868^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (53868961) 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, 17265 + ... + 20144.

Almost surely, 2^53868960 is an apocalyptic number.

It is an amenable number.

53868960 is an abundant number, since it is smaller than the sum of its proper divisors (129963780).

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

53868960 is a wasteful number, since it uses less digits than its factorization.

53868960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37430 (or 37419 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 53868960 is about 7339.5476699862. The cubic root of 53868960 is about 377.6703264827.

The spelling of 53868960 in words is "fifty-three million, eight hundred sixty-eight thousand, nine hundred sixty".