57967620 has 72 divisors (see below), whose sum is σ = 172470144. Its totient is φ = 14544384.

The previous prime is 57967597. The next prime is 57967627. The reversal of 57967620 is 2676975.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (57967627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15669 + ... + 19011.

Almost surely, 2^57967620 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 57967620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86235072).

57967620 is an abundant number, since it is smaller than the sum of its proper divisors (114502524).

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

57967620 is a wasteful number, since it uses less digits than its factorization.

57967620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 57967620 is about 7613.6469579302. The cubic root of 57967620 is about 387.0156167539.

The spelling of 57967620 in words is "fifty-seven million, nine hundred sixty-seven thousand, six hundred twenty".