57396840 has 64 divisors (see below), whose sum is σ = 174000960. Its totient is φ = 15144960.

The previous prime is 57396821. The next prime is 57396847. The reversal of 57396840 is 4869375.

57396840 = T₁₀₃₉ + T₁₀₄₀ + ... + T₁₁₃₅.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 57396792 and 57396801.

It is not an unprimeable number, because it can be changed into a prime (57396847) 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, 9175 + ... + 14105.

It is an arithmetic number, because the mean of its divisors is an integer number (2718765).

Almost surely, 2^57396840 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 57396840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87000480).

57396840 is an abundant number, since it is smaller than the sum of its proper divisors (116604120).

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

57396840 is a wasteful number, since it uses less digits than its factorization.

57396840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57396840 is about 7576.0702214275. The cubic root of 57396840 is about 385.7411707696.

The spelling of 57396840 in words is "fifty-seven million, three hundred ninety-six thousand, eight hundred forty".