57936240 has 120 divisors (see below), whose sum is σ = 197637648. Its totient is φ = 15206400.

The previous prime is 57936233. The next prime is 57936247. The reversal of 57936240 is 4263975.

It is an interprime number because it is at equal distance from previous prime (57936233) and next prime (57936247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57936195 and 57936204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57936247) 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 23 ways as a sum of consecutive naturals, for example, 47640 + ... + 48840.

Almost surely, 2^57936240 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 57936240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98818824).

57936240 is an abundant number, since it is smaller than the sum of its proper divisors (139701408).

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

57936240 is a wasteful number, since it uses less digits than its factorization.

57936240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57936240 is about 7611.5859057098. The cubic root of 57936240 is about 386.9457688966.

The spelling of 57936240 in words is "fifty-seven million, nine hundred thirty-six thousand, two hundred forty".