57258120 has 64 divisors (see below), whose sum is σ = 172549440. Its totient is φ = 15200000.

The previous prime is 57258107. The next prime is 57258127. The reversal of 57258120 is 2185275.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57258127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29170 + ... + 31070.

It is an arithmetic number, because the mean of its divisors is an integer number (2696085).

Almost surely, 2^57258120 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 57258120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86274720).

57258120 is an abundant number, since it is smaller than the sum of its proper divisors (115291320).

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

57258120 is a wasteful number, since it uses less digits than its factorization.

57258120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 57258120 is about 7566.9095408892. The cubic root of 57258120 is about 385.4301595601.

The spelling of 57258120 in words is "fifty-seven million, two hundred fifty-eight thousand, one hundred twenty".