57673440 has 216 divisors, whose sum is σ = 216982584. Its totient is φ = 13939200.

The previous prime is 57673411. The next prime is 57673453. The reversal of 57673440 is 4437675.

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 = 57673395 and 57673404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174075 + ... + 174405.

It is an arithmetic number, because the mean of its divisors is an integer number (1004549).

Almost surely, 2^57673440 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 57673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108491292).

57673440 is an abundant number, since it is smaller than the sum of its proper divisors (159309144).

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

57673440 is a wasteful number, since it uses less digits than its factorization.

57673440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 57673440 is about 7594.3031280033. The cubic root of 57673440 is about 386.3598173304.

The spelling of 57673440 in words is "fifty-seven million, six hundred seventy-three thousand, four hundred forty".