57671964 has 72 divisors (see below), whose sum is σ = 167975808. Its totient is φ = 16342560.

The previous prime is 57671963. The next prime is 57671983. The reversal of 57671964 is 46917675.

It is a happy number.

57671964 is a `hidden beast` number, since 576 + 7 + 19 + 64 = 666.

Its product of digits (317520) is a multiple of the sum of its prime divisors (1890).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57671963) 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, 32139 + ... + 33885.

Almost surely, 2^57671964 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 57671964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83987904).

57671964 is an abundant number, since it is smaller than the sum of its proper divisors (110303844).

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

57671964 is a wasteful number, since it uses less digits than its factorization.

57671964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1890 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 57671964 is about 7594.2059492747. The cubic root of 57671964 is about 386.3565213478.

The spelling of 57671964 in words is "fifty-seven million, six hundred seventy-one thousand, nine hundred sixty-four".