57148416 has 220 divisors, whose sum is σ = 187251372. Its totient is φ = 17252352.

The previous prime is 57148393. The next prime is 57148451. The reversal of 57148416 is 61484175.

It is a happy number.

57148416 is a `hidden beast` number, since 571 + 4 + 84 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 33177600 = 4896^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1078246 + ... + 1078298.

Almost surely, 2^57148416 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 57148416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93625686).

57148416 is an abundant number, since it is smaller than the sum of its proper divisors (130102956).

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

57148416 is a wasteful number, since it uses less digits than its factorization.

57148416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 57148416 is about 7559.6571350823. The cubic root of 57148416 is about 385.1838465291.

The spelling of 57148416 in words is "fifty-seven million, one hundred forty-eight thousand, four hundred sixteen".