53815680 has 96 divisors (see below), whose sum is σ = 185852160. Its totient is φ = 14349312.

The previous prime is 53815667. The next prime is 53815691. The reversal of 53815680 is 8651835.

53815680 = 325² + 326² + ... + 580².

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53815680² = 5792254827724800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1089 + ... + 10431.

It is an arithmetic number, because the mean of its divisors is an integer number (1935960).

Almost surely, 2^53815680 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 53815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92926080).

53815680 is an abundant number, since it is smaller than the sum of its proper divisors (132036480).

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

53815680 is a wasteful number, since it uses less digits than its factorization.

53815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 53815680 is about 7335.9171205787. The cubic root of 53815680 is about 377.5457716820.

The spelling of 53815680 in words is "fifty-three million, eight hundred fifteen thousand, six hundred eighty".