57811968 has 220 divisors, whose sum is σ = 187251372. Its totient is φ = 17694720.

The previous prime is 57811961. The next prime is 57811969. The reversal of 57811968 is 86911875.

57811968 is a `hidden beast` number, since 578 + 1 + 19 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 36578304 = 4608^2 + 6048^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (120960) is a multiple of the sum of its prime divisors (63).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (57811961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1410028 + ... + 1410068.

Almost surely, 2^57811968 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 57811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93625686).

57811968 is an abundant number, since it is smaller than the sum of its proper divisors (129439404).

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

57811968 is a wasteful number, since it uses less digits than its factorization.

57811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 57811968 is about 7603.4181786878. The cubic root of 57811968 is about 386.6689073724.

The spelling of 57811968 in words is "fifty-seven million, eight hundred eleven thousand, nine hundred sixty-eight".