57607680 has 160 divisors (see below), whose sum is σ = 198674784. Its totient is φ = 14155776.

The previous prime is 57607651. The next prime is 57607681. The reversal of 57607680 is 8670675.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57607681) 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, 99552 + ... + 100128.

Almost surely, 2^57607680 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 57607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99337392).

57607680 is an abundant number, since it is smaller than the sum of its proper divisors (141067104).

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

57607680 is a wasteful number, since it uses less digits than its factorization.

57607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 57607680 is about 7589.9723319654. The cubic root of 57607680 is about 386.2129173352.

The spelling of 57607680 in words is "fifty-seven million, six hundred seven thousand, six hundred eighty".