57671840 has 96 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 21427200.

The previous prime is 57671819. The next prime is 57671857. The reversal of 57671840 is 4817675.

It is a super-2 number, since 2×57671840² = 6652082257971200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 57671794 and 57671803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185285 + ... + 185595.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^57671840 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 57671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

57671840 is an abundant number, since it is smaller than the sum of its proper divisors (88568800).

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

57671840 is a wasteful number, since it uses less digits than its factorization.

57671840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 57671840 is about 7594.1977851515. The cubic root of 57671840 is about 386.3562444470.

The spelling of 57671840 in words is "fifty-seven million, six hundred seventy-one thousand, eight hundred forty".