57882240 has 192 divisors, whose sum is σ = 215528040. Its totient is φ = 14229504.

The previous prime is 57882233. The next prime is 57882247. The reversal of 57882240 is 4228875.

It is a happy number.

57882240 is a `hidden beast` number, since 578 + 82 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57882233) and next prime (57882247).

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 36869184 = 4584^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 = 57882195 and 57882204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57882247) 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, 74494 + ... + 75266.

Almost surely, 2^57882240 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 57882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107764020).

57882240 is an abundant number, since it is smaller than the sum of its proper divisors (157645800).

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

57882240 is a wasteful number, since it uses less digits than its factorization.

57882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 57882240 is about 7608.0378547954. The cubic root of 57882240 is about 386.8255127513.

The spelling of 57882240 in words is "fifty-seven million, eight hundred eighty-two thousand, two hundred forty".