57119040 has 224 divisors, whose sum is σ = 220187520. Its totient is φ = 13824000.

The previous prime is 57119039. The next prime is 57119063. The reversal of 57119040 is 4091175.

57119040 is a `hidden beast` number, since 571 + 1 + 90 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57118995 and 57119013.

It is a congruent number.

It is an unprimeable number.

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, 94740 + ... + 95340.

It is an arithmetic number, because the mean of its divisors is an integer number (982980).

Almost surely, 2^57119040 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 57119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110093760).

57119040 is an abundant number, since it is smaller than the sum of its proper divisors (163068480).

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

57119040 is a wasteful number, since it uses less digits than its factorization.

57119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57119040 is about 7557.7139400747. The cubic root of 57119040 is about 385.1178365338.

The spelling of 57119040 in words is "fifty-seven million, one hundred nineteen thousand, forty".