57198480 has 80 divisors (see below), whose sum is σ = 180268224. Its totient is φ = 14999040.

The previous prime is 57198473. The next prime is 57198481. The reversal of 57198480 is 8489175.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×57198480² = 6543332228620800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57198481) 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, 12687 + ... + 16593.

Almost surely, 2^57198480 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 57198480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90134112).

57198480 is an abundant number, since it is smaller than the sum of its proper divisors (123069744).

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

57198480 is a wasteful number, since it uses less digits than its factorization.

57198480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 57198480 is about 7562.9676714898. The cubic root of 57198480 is about 385.2962918488.

The spelling of 57198480 in words is "fifty-seven million, one hundred ninety-eight thousand, four hundred eighty".