57661736 has 64 divisors (see below), whose sum is σ = 127180800. Its totient is φ = 24235200.

The previous prime is 57661717. The next prime is 57661757. The reversal of 57661736 is 63716675.

It is a junction number, because it is equal to n+sod(n) for n = 57661693 and 57661702.

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, 62285 + ... + 63203.

It is an arithmetic number, because the mean of its divisors is an integer number (1987200).

Almost surely, 2^57661736 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 57661736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63590400).

57661736 is an abundant number, since it is smaller than the sum of its proper divisors (69519064).

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

57661736 is a wasteful number, since it uses less digits than its factorization.

57661736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 986 counting only the distinct ones).

The product of its digits is 158760, while the sum is 41.

The square root of 57661736 is about 7593.5325112888. The cubic root of 57661736 is about 386.3336801621. Note that the first 3 decimals are identical.

The spelling of 57661736 in words is "fifty-seven million, six hundred sixty-one thousand, seven hundred thirty-six".