53607168 has 108 divisors (see below), whose sum is σ = 157837680. Its totient is φ = 17491968.

The previous prime is 53607163. The next prime is 53607173. The reversal of 53607168 is 86170635.

It is an interprime number because it is at equal distance from previous prime (53607163) and next prime (53607173).

It is a super-3 number, since 3×53607168³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (53607163) 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, 121893 + ... + 122331.

It is an arithmetic number, because the mean of its divisors is an integer number (1461460).

Almost surely, 2^53607168 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 53607168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78918840).

53607168 is an abundant number, since it is smaller than the sum of its proper divisors (104230512).

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

53607168 is a wasteful number, since it uses less digits than its factorization.

53607168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53607168 is about 7321.6916078185. The cubic root of 53607168 is about 377.0575328426.

The spelling of 53607168 in words is "fifty-three million, six hundred seven thousand, one hundred sixty-eight".