57617040 has 160 divisors (see below), whose sum is σ = 196237440. Its totient is φ = 13897728.

The previous prime is 57617017. The next prime is 57617069. The reversal of 57617040 is 4071675.

It is a happy number.

57617040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 57616989 and 57617007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183924 + ... + 184236.

It is an arithmetic number, because the mean of its divisors is an integer number (1226484).

Almost surely, 2^57617040 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 57617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98118720).

57617040 is an abundant number, since it is smaller than the sum of its proper divisors (138620400).

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

57617040 is a wasteful number, since it uses less digits than its factorization.

57617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57617040 is about 7590.5889099595. The cubic root of 57617040 is about 386.2338332798.

The spelling of 57617040 in words is "fifty-seven million, six hundred seventeen thousand, forty".