57919968 has 96 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 18845568.

The previous prime is 57919963. The next prime is 57919987. The reversal of 57919968 is 86991975.

57919968 is a `hidden beast` number, since 579 + 1 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×57919968³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57919963) 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, 36373 + ... + 37931.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^57919968 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 57919968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

57919968 is an abundant number, since it is smaller than the sum of its proper divisors (115052832).

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

57919968 is a wasteful number, since it uses less digits than its factorization.

57919968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1607 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 57919968 is about 7610.5169338226. The cubic root of 57919968 is about 386.9095395802.

The spelling of 57919968 in words is "fifty-seven million, nine hundred nineteen thousand, nine hundred sixty-eight".