57960336 has 120 divisors (see below), whose sum is σ = 183485280. Its totient is φ = 15676416.

The previous prime is 57960319. The next prime is 57960337. The reversal of 57960336 is 63306975.

57960336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57960294 and 57960303.

It is not an unprimeable number, because it can be changed into a prime (57960337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44040 + ... + 45336.

It is an arithmetic number, because the mean of its divisors is an integer number (1529044).

Almost surely, 2^57960336 is an apocalyptic number.

57960336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57960336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91742640).

57960336 is an abundant number, since it is smaller than the sum of its proper divisors (125524944).

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

57960336 is a wasteful number, since it uses less digits than its factorization.

57960336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The square root of 57960336 is about 7613.1685913291. The cubic root of 57960336 is about 386.9994057506. Note that the first 3 decimals are identical.

The spelling of 57960336 in words is "fifty-seven million, nine hundred sixty thousand, three hundred thirty-six".