57350640 has 80 divisors (see below), whose sum is σ = 178836768. Its totient is φ = 15203328.

The previous prime is 57350617. The next prime is 57350641. The reversal of 57350640 is 4605375.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 57350598 and 57350607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57350641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46674 + ... + 47886.

Almost surely, 2^57350640 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 57350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89418384).

57350640 is an abundant number, since it is smaller than the sum of its proper divisors (121486128).

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

57350640 is a wasteful number, since it uses less digits than its factorization.

57350640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 57350640 is about 7573.0205334463. The cubic root of 57350640 is about 385.6376457567.

The spelling of 57350640 in words is "fifty-seven million, three hundred fifty thousand, six hundred forty".