57760248 has 128 divisors (see below), whose sum is σ = 181440000. Its totient is φ = 14916096.

The previous prime is 57760243. The next prime is 57760259. The reversal of 57760248 is 84206775.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57760243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115503 + ... + 116001.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^57760248 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 57760248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720000).

57760248 is an abundant number, since it is smaller than the sum of its proper divisors (123679752).

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

57760248 is a wasteful number, since it uses less digits than its factorization.

57760248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 57760248 is about 7600.0163157720. The cubic root of 57760248 is about 386.5535651502.

The spelling of 57760248 in words is "fifty-seven million, seven hundred sixty thousand, two hundred forty-eight".