57966940 has 48 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 21066752.

The previous prime is 57966917. The next prime is 57966941. The reversal of 57966940 is 4966975.

It is a super-2 number, since 2×57966940² = 6720332265927200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57966941) 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, 6921 + ... + 12799.

It is an arithmetic number, because the mean of its divisors is an integer number (2778300).

Almost surely, 2^57966940 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 57966940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

57966940 is an abundant number, since it is smaller than the sum of its proper divisors (75391460).

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

57966940 is a wasteful number, since it uses less digits than its factorization.

57966940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5932 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 57966940 is about 7613.6023011450. The cubic root of 57966940 is about 387.0141034283.

The spelling of 57966940 in words is "fifty-seven million, nine hundred sixty-six thousand, nine hundred forty".