57702240 has 288 divisors, whose sum is σ = 218907360. Its totient is φ = 14183424.

The previous prime is 57702223. The next prime is 57702241. The reversal of 57702240 is 4220775.

57702240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57702241) 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 47 ways as a sum of consecutive naturals, for example, 1559502 + ... + 1559538.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 2^57702240 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 57702240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109453680).

57702240 is an abundant number, since it is smaller than the sum of its proper divisors (161205120).

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

57702240 is a wasteful number, since it uses less digits than its factorization.

57702240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 57702240 is about 7596.1990495247. The cubic root of 57702240 is about 386.4241179344.

The spelling of 57702240 in words is "fifty-seven million, seven hundred two thousand, two hundred forty".