57735240 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 14724864.

The previous prime is 57735239. The next prime is 57735241. The reversal of 57735240 is 4253775.

It is an interprime number because it is at equal distance from previous prime (57735239) and next prime (57735241).

It is a super-4 number, since 4×57735240⁴ (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (57735241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 345637 + ... + 345803.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2^57735240 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 57735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

57735240 is an abundant number, since it is smaller than the sum of its proper divisors (123220920).

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

57735240 is a wasteful number, since it uses less digits than its factorization.

57735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 57735240 is about 7598.3708780238. The cubic root of 57735240 is about 386.4977694120.

It can be divided in two parts, 57735 and 240, that added together give a palindrome (57975).

The spelling of 57735240 in words is "fifty-seven million, seven hundred thirty-five thousand, two hundred forty".