57393360 has 200 divisors, whose sum is σ = 211466376. Its totient is φ = 14376960.

The previous prime is 57393359. The next prime is 57393361. The reversal of 57393360 is 6339375.

It is an interprime number because it is at equal distance from previous prime (57393359) and next prime (57393361).

It can be written as a sum of positive squares in 4 ways, for example, as 7096896 + 50296464 = 2664^2 + 7092^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57393361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109900 + ... + 110420.

Almost surely, 2^57393360 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 57393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105733188).

57393360 is an abundant number, since it is smaller than the sum of its proper divisors (154073016).

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

57393360 is a wasteful number, since it uses less digits than its factorization.

57393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 57393360 is about 7575.8405474244. The cubic root of 57393360 is about 385.7333747166.

The spelling of 57393360 in words is "fifty-seven million, three hundred ninety-three thousand, three hundred sixty".