57768744 has 64 divisors (see below), whose sum is σ = 158883840. Its totient is φ = 17357760.

The previous prime is 57768727. The next prime is 57768749. The reversal of 57768744 is 44786775.

It is a junction number, because it is equal to n+sod(n) for n = 57768693 and 57768702.

It is not an unprimeable number, because it can be changed into a prime (57768749) 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, 32667 + ... + 34389.

It is an arithmetic number, because the mean of its divisors is an integer number (2482560).

Almost surely, 2^57768744 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 57768744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79441920).

57768744 is an abundant number, since it is smaller than the sum of its proper divisors (101115096).

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

57768744 is a wasteful number, since it uses less digits than its factorization.

57768744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1866 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The square root of 57768744 is about 7600.5752413880. The cubic root of 57768744 is about 386.5725170430.

The spelling of 57768744 in words is "fifty-seven million, seven hundred sixty-eight thousand, seven hundred forty-four".