57613140 has 192 divisors, whose sum is σ = 200390400. Its totient is φ = 13644288.

The previous prime is 57613121. The next prime is 57613141. The reversal of 57613140 is 4131675.

57613140 is a `hidden beast` number, since 5 + 7 + 613 + 1 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57613141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203439 + ... + 203721.

It is an arithmetic number, because the mean of its divisors is an integer number (1043700).

Almost surely, 2^57613140 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 57613140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100195200).

57613140 is an abundant number, since it is smaller than the sum of its proper divisors (142777260).

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

57613140 is a wasteful number, since it uses less digits than its factorization.

57613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57613140 is about 7590.3320085488. The cubic root of 57613140 is about 386.2251185782.

It can be divided in two parts, 57 and 613140, that multiplied together give a triangular number (34948980 = T₈₃₆₀).

The spelling of 57613140 in words is "fifty-seven million, six hundred thirteen thousand, one hundred forty".