57351680 has 80 divisors (see below), whose sum is σ = 140977584. Its totient is φ = 22364160.

The previous prime is 57351677. The next prime is 57351683. The reversal of 57351680 is 8615375.

It is an interprime number because it is at equal distance from previous prime (57351677) and next prime (57351683).

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

It is a self number, because there is not a number n which added to its sum of digits gives 57351680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57351683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109820 + ... + 110340.

Almost surely, 2^57351680 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 57351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70488792).

57351680 is an abundant number, since it is smaller than the sum of its proper divisors (83625904).

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

57351680 is an equidigital number, since it uses as much as digits as its factorization.

57351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 57351680 is about 7573.0891979429. The cubic root of 57351680 is about 385.6399768014.

The spelling of 57351680 in words is "fifty-seven million, three hundred fifty-one thousand, six hundred eighty".