57205540 has 96 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 18910080.

The previous prime is 57205529. The next prime is 57205541. The reversal of 57205540 is 4550275.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 57205499 and 57205508.

It is not an unprimeable number, because it can be changed into a prime (57205541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212526 + ... + 212794.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^57205540 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 57205540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

57205540 is an abundant number, since it is smaller than the sum of its proper divisors (87946460).

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

57205540 is a wasteful number, since it uses less digits than its factorization.

57205540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 57205540 is about 7563.4344050834. The cubic root of 57205540 is about 385.3121435515.

The spelling of 57205540 in words is "fifty-seven million, two hundred five thousand, five hundred forty".