57340040 has 48 divisors (see below), whose sum is σ = 131292900. Its totient is φ = 22537728.

The previous prime is 57340039. The next prime is 57340051. The reversal of 57340040 is 4004375.

It can be written as a sum of positive squares in 6 ways, for example, as 14122564 + 43217476 = 3758^2 + 6574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57339988 and 57340015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213026 + ... + 213294.

Almost surely, 2^57340040 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 57340040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65646450).

57340040 is an abundant number, since it is smaller than the sum of its proper divisors (73952860).

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

57340040 is a wasteful number, since it uses less digits than its factorization.

57340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 57340040 is about 7572.3206482557. The cubic root of 57340040 is about 385.6138854237.

The spelling of 57340040 in words is "fifty-seven million, three hundred forty thousand, forty".