57661140 has 48 divisors (see below), whose sum is σ = 162167040. Its totient is φ = 15308160.

The previous prime is 57661117. The next prime is 57661141. The reversal of 57661140 is 4116675.

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 = 57661098 and 57661107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57661141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12330 + ... + 16350.

It is an arithmetic number, because the mean of its divisors is an integer number (3378480).

Almost surely, 2^57661140 is an apocalyptic number.

It is an amenable number.

57661140 is an abundant number, since it is smaller than the sum of its proper divisors (104505900).

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

57661140 is a wasteful number, since it uses less digits than its factorization.

57661140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 57661140 is about 7593.4932672651. The cubic root of 57661140 is about 386.3323490907.

It can be divided in two parts, 576 and 61140, that added together give a palindrome (61716).

The spelling of 57661140 in words is "fifty-seven million, six hundred sixty-one thousand, one hundred forty".