57086040 has 128 divisors (see below), whose sum is σ = 190252800. Its totient is φ = 13585920.

The previous prime is 57086033. The next prime is 57086041. The reversal of 57086040 is 4068075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57085989 and 57086007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57086041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77514 + ... + 78246.

It is an arithmetic number, because the mean of its divisors is an integer number (1486350).

Almost surely, 2^57086040 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 57086040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95126400).

57086040 is an abundant number, since it is smaller than the sum of its proper divisors (133166760).

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

57086040 is a wasteful number, since it uses less digits than its factorization.

57086040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57086040 is about 7555.5304247948. The cubic root of 57086040 is about 385.0436561503.

The spelling of 57086040 in words is "fifty-seven million, eighty-six thousand, forty".