57006900 has 108 divisors (see below), whose sum is σ = 180803532. Its totient is φ = 15022080.

The previous prime is 57006893. The next prime is 57006907. The reversal of 57006900 is 960075.

57006900 is a `hidden beast` number, since 570 + 0 + 6 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (57006893) and next prime (57006907).

It can be written as a sum of positive squares in 6 ways, for example, as 5253264 + 51753636 = 2292^2 + 7194^2 .

It is a super-2 number, since 2×57006900² = 6499573295220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57006907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86974 + ... + 87626.

Almost surely, 2^57006900 is an apocalyptic number.

57006900 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 57006900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90401766).

57006900 is an abundant number, since it is smaller than the sum of its proper divisors (123796632).

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

57006900 is a wasteful number, since it uses less digits than its factorization.

57006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

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

The square root of 57006900 is about 7550.2913851056. The cubic root of 57006900 is about 384.8656415408.

Adding to 57006900 its reverse (960075), we get a palindrome (57966975).

The spelling of 57006900 in words is "fifty-seven million, six thousand, nine hundred".