57070900 has 36 divisors (see below), whose sum is σ = 124515468. Its totient is φ = 22704640.

The previous prime is 57070891. The next prime is 57070901. The reversal of 57070900 is 907075.

It can be written as a sum of positive squares in 6 ways, for example, as 98596 + 56972304 = 314^2 + 7548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57070901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18252 + ... + 21148.

It is an arithmetic number, because the mean of its divisors is an integer number (3458763).

Almost surely, 2^57070900 is an apocalyptic number.

57070900 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 57070900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62257734).

57070900 is an abundant number, since it is smaller than the sum of its proper divisors (67444568).

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

57070900 is a wasteful number, since it uses less digits than its factorization.

57070900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 57070900 is about 7554.5284432584. The cubic root of 57070900 is about 385.0096135228.

Adding to 57070900 its reverse (907075), we get a palindrome (57977975).

It can be divided in two parts, 57070 and 900, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 57070900 in words is "fifty-seven million, seventy thousand, nine hundred".