57630120 has 64 divisors (see below), whose sum is σ = 173603520. Its totient is φ = 15304704.

The previous prime is 57630103. The next prime is 57630121. The reversal of 57630120 is 2103675.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (57630121) 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, 33112 + ... + 34808.

It is an arithmetic number, because the mean of its divisors is an integer number (2712555).

Almost surely, 2^57630120 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 57630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86801760).

57630120 is an abundant number, since it is smaller than the sum of its proper divisors (115973400).

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

57630120 is a wasteful number, since it uses less digits than its factorization.

57630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 57630120 is about 7591.4504542940. The cubic root of 57630120 is about 386.2630581775.

Adding to 57630120 its reverse (2103675), we get a palindrome (59733795).

The spelling of 57630120 in words is "fifty-seven million, six hundred thirty thousand, one hundred twenty".