57351690 has 96 divisors (see below), whose sum is σ = 171288000. Its totient is φ = 13167360.

The previous prime is 57351683. The next prime is 57351691. The reversal of 57351690 is 9615375.

It is a happy number.

57351690 is a `hidden beast` number, since 57 + 3 + 516 + 90 = 666.

57351690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57351690² = 6578432691712200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57351691) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17286 + ... + 20334.

It is an arithmetic number, because the mean of its divisors is an integer number (1784250).

Almost surely, 2^57351690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57351690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85644000).

57351690 is an abundant number, since it is smaller than the sum of its proper divisors (113936310).

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

57351690 is a wasteful number, since it uses less digits than its factorization.

57351690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57351690 is about 7573.0898581755. The cubic root of 57351690 is about 385.6399992152.

It can be divided in two parts, 5 and 7351690, that added together give a triangular number (7351695 = T₃₈₃₄).

The spelling of 57351690 in words is "fifty-seven million, three hundred fifty-one thousand, six hundred ninety".