57060900 has 108 divisors (see below), whose sum is σ = 192651732. Its totient is φ = 14042880.

The previous prime is 57060881. The next prime is 57060931. The reversal of 57060900 is 906075.

57060900 is a `hidden beast` number, since 57 + 0 + 609 + 0 + 0 = 666.

57060900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10929636 + 46131264 = 3306^2 + 6792^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9262 + ... + 14138.

Almost surely, 2^57060900 is an apocalyptic number.

57060900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57060900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96325866).

57060900 is an abundant number, since it is smaller than the sum of its proper divisors (135590832).

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

57060900 is a wasteful number, since it uses less digits than its factorization.

57060900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57060900 is about 7553.8665595839. The cubic root of 57060900 is about 384.9871249981.

Adding to 57060900 its reverse (906075), we get a palindrome (57966975).

The spelling of 57060900 in words is "fifty-seven million, sixty thousand, nine hundred".