57098144 has 36 divisors (see below), whose sum is σ = 117546786. Its totient is φ = 27299712.

The previous prime is 57098143. The next prime is 57098147. The reversal of 57098144 is 44189075.

It can be written as a sum of positive squares in only one way, i.e., 31494544 + 25603600 = 5612^2 + 5060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57098098 and 57098107.

It is not an unprimeable number, because it can be changed into a prime (57098143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15242 + ... + 18614.

Almost surely, 2^57098144 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 57098144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58773393).

57098144 is an abundant number, since it is smaller than the sum of its proper divisors (60448642).

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

57098144 is a wasteful number, since it uses less digits than its factorization.

57098144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 57098144 is about 7556.3313850042. The cubic root of 57098144 is about 385.0708679348.

The spelling of 57098144 in words is "fifty-seven million, ninety-eight thousand, one hundred forty-four".