57149680 has 120 divisors (see below), whose sum is σ = 157757760. Its totient is φ = 19192320.

The previous prime is 57149669. The next prime is 57149689. The reversal of 57149680 is 8694175.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57149689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239001 + ... + 239239.

It is an arithmetic number, because the mean of its divisors is an integer number (1314648).

Almost surely, 2^57149680 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 57149680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878880).

57149680 is an abundant number, since it is smaller than the sum of its proper divisors (100608080).

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

57149680 is a wasteful number, since it uses less digits than its factorization.

57149680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 57149680 is about 7559.7407362951. The cubic root of 57149680 is about 385.1866863208.

The spelling of 57149680 in words is "fifty-seven million, one hundred forty-nine thousand, six hundred eighty".