57559040 has 192 divisors, whose sum is σ = 174545280. Its totient is φ = 17694720.

The previous prime is 57559031. The next prime is 57559063. The reversal of 57559040 is 4095575.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788444 + ... + 788516.

It is an arithmetic number, because the mean of its divisors is an integer number (909090).

Almost surely, 2^57559040 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 57559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87272640).

57559040 is an abundant number, since it is smaller than the sum of its proper divisors (116986240).

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

57559040 is a wasteful number, since it uses less digits than its factorization.

57559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 57559040 is about 7586.7674275676. The cubic root of 57559040 is about 386.1041894375.

The spelling of 57559040 in words is "fifty-seven million, five hundred fifty-nine thousand, forty".