53616160 has 96 divisors (see below), whose sum is σ = 138121200. Its totient is φ = 19550208.

The previous prime is 53616109. The next prime is 53616161. The reversal of 53616160 is 6161635.

It can be written as a sum of positive squares in 8 ways, for example, as 14227984 + 39388176 = 3772^2 + 6276^2 .

It is a super-2 number, since 2×53616160² = 5749385226291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (53616161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309834 + ... + 310006.

Almost surely, 2^53616160 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 53616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69060600).

53616160 is an abundant number, since it is smaller than the sum of its proper divisors (84505040).

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

53616160 is a wasteful number, since it uses less digits than its factorization.

53616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 53616160 is about 7322.3056478134. The cubic root of 53616160 is about 377.0786140519.

Adding to 53616160 its reverse (6161635), we get a palindrome (59777795).

The spelling of 53616160 in words is "fifty-three million, six hundred sixteen thousand, one hundred sixty".