57414760 has 64 divisors (see below), whose sum is σ = 142566480. Its totient is φ = 20674560.

The previous prime is 57414737. The next prime is 57414781. The reversal of 57414760 is 6741475.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2090916 + 55323844 = 1446^2 + 7438^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19974 + ... + 22666.

Almost surely, 2^57414760 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 57414760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71283240).

57414760 is an abundant number, since it is smaller than the sum of its proper divisors (85151720).

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

57414760 is a wasteful number, since it uses less digits than its factorization.

57414760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 57414760 is about 7577.2528003228. The cubic root of 57414760 is about 385.7813109731.

It can be divided in two parts, 5741 and 4760, that added together give a palindrome (10501).

The spelling of 57414760 in words is "fifty-seven million, four hundred fourteen thousand, seven hundred sixty".