57671640 has 96 divisors (see below), whose sum is σ = 201867120. Its totient is φ = 14194944.

The previous prime is 57671629. The next prime is 57671651. The reversal of 57671640 is 4617675.

57671640 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 1 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (57671629) and next prime (57671651).

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 = 57671595 and 57671604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482 + ... + 10841.

Almost surely, 2^57671640 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 57671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100933560).

57671640 is an abundant number, since it is smaller than the sum of its proper divisors (144195480).

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

57671640 is a wasteful number, since it uses less digits than its factorization.

57671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12353 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57671640 is about 7594.1846171923. The cubic root of 57671640 is about 386.3557978320.

It can be divided in two parts, 57671 and 640, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 57671640 in words is "fifty-seven million, six hundred seventy-one thousand, six hundred forty".