57965040 has 360 divisors, whose sum is σ = 238163328. Its totient is φ = 12579840.

The previous prime is 57964999. The next prime is 57965099. The reversal of 57965040 is 4056975.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 57964986 and 57965004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1093654 + ... + 1093706.

Almost surely, 2^57965040 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 57965040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119081664).

57965040 is an abundant number, since it is smaller than the sum of its proper divisors (180198288).

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

57965040 is a wasteful number, since it uses less digits than its factorization.

57965040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57965040 is about 7613.4775234449. The cubic root of 57965040 is about 387.0098749558.

The spelling of 57965040 in words is "fifty-seven million, nine hundred sixty-five thousand, forty".