53617680 has 160 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 14100480.

The previous prime is 53617661. The next prime is 53617703. The reversal of 53617680 is 8671635.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222360 + ... + 222600.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^53617680 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 53617680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

53617680 is an abundant number, since it is smaller than the sum of its proper divisors (133632240).

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

53617680 is a wasteful number, since it uses less digits than its factorization.

53617680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

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

The square root of 53617680 is about 7322.4094395219. The cubic root of 53617680 is about 377.0821773686.

It can be divided in two parts, 5361 and 7680, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 53617680 in words is "fifty-three million, six hundred seventeen thousand, six hundred eighty".