57350208 has 112 divisors (see below), whose sum is σ = 162560000. Its totient is φ = 17791488.

The previous prime is 57350203. The next prime is 57350221. The reversal of 57350208 is 80205375.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57350203) 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, 288093 + ... + 288291.

Almost surely, 2^57350208 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 57350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280000).

57350208 is an abundant number, since it is smaller than the sum of its proper divisors (105209792).

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

57350208 is a wasteful number, since it uses less digits than its factorization.

57350208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 57350208 is about 7572.9920110878. The cubic root of 57350208 is about 385.6366774683.

The spelling of 57350208 in words is "fifty-seven million, three hundred fifty thousand, two hundred eight".