57007120 has 80 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 21248000.

The previous prime is 57007063. The next prime is 57007129. The reversal of 57007120 is 2170075.

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

It is a junction number, because it is equal to n+sod(n) for n = 57007091 and 57007100.

It is not an unprimeable number, because it can be changed into a prime (57007129) 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, 226995 + ... + 227245.

Almost surely, 2^57007120 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 57007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

57007120 is an abundant number, since it is smaller than the sum of its proper divisors (84733808).

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

57007120 is a wasteful number, since it uses less digits than its factorization.

57007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 57007120 is about 7550.3059540657. The cubic root of 57007120 is about 384.8661366290.

Adding to 57007120 its reverse (2170075), we get a palindrome (59177195).

The spelling of 57007120 in words is "fifty-seven million, seven thousand, one hundred twenty".