57632740 has 48 divisors (see below), whose sum is σ = 132701184. Its totient is φ = 20851200.

The previous prime is 57632713. The next prime is 57632741. The reversal of 57632740 is 4723675.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57632696 and 57632705.

It is not an unprimeable number, because it can be changed into a prime (57632741) 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, 52477 + ... + 53563.

It is an arithmetic number, because the mean of its divisors is an integer number (2764608).

Almost surely, 2^57632740 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 57632740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66350592).

57632740 is an abundant number, since it is smaller than the sum of its proper divisors (75068444).

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

57632740 is a wasteful number, since it uses less digits than its factorization.

57632740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 57632740 is about 7591.6230148763. The cubic root of 57632740 is about 386.2689115627.

The spelling of 57632740 in words is "fifty-seven million, six hundred thirty-two thousand, seven hundred forty".