57075680 has 48 divisors (see below), whose sum is σ = 135508464. Its totient is φ = 22717440.

The previous prime is 57075661. The next prime is 57075701. The reversal of 57075680 is 8657075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36515 + ... + 38045.

It is an arithmetic number, because the mean of its divisors is an integer number (2823093).

Almost surely, 2^57075680 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 57075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67754232).

57075680 is an abundant number, since it is smaller than the sum of its proper divisors (78432784).

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

57075680 is a wasteful number, since it uses less digits than its factorization.

57075680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 57075680 is about 7554.8448031710. The cubic root of 57075680 is about 385.0203621097.

The spelling of 57075680 in words is "fifty-seven million, seventy-five thousand, six hundred eighty".