57635840 has 44 divisors (see below), whose sum is σ = 138270756. Its totient is φ = 23052288.

The previous prime is 57635819. The next prime is 57635843. The reversal of 57635840 is 4853675.

It can be written as a sum of positive squares in 2 ways, for example, as 35808256 + 21827584 = 5984^2 + 4672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57635794 and 57635803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57635843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509 + ... + 10748.

Almost surely, 2^57635840 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 57635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69135378).

57635840 is an abundant number, since it is smaller than the sum of its proper divisors (80634916).

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

57635840 is a wasteful number, since it uses less digits than its factorization.

57635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11282 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 57635840 is about 7591.8271845452. The cubic root of 57635840 is about 386.2758370947.

The spelling of 57635840 in words is "fifty-seven million, six hundred thirty-five thousand, eight hundred forty".