57826080 has 144 divisors (see below), whose sum is σ = 212579640. Its totient is φ = 14229504.

The previous prime is 57826057. The next prime is 57826091. The reversal of 57826080 is 8062875.

57826080 is a `hidden beast` number, since 578 + 2 + 6 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48608784 + 9217296 = 6972^2 + 3036^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17176 + ... + 20264.

Almost surely, 2^57826080 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 57826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106289820).

57826080 is an abundant number, since it is smaller than the sum of its proper divisors (154753560).

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

57826080 is a wasteful number, since it uses less digits than its factorization.

57826080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 57826080 is about 7604.3461257363. The cubic root of 57826080 is about 386.7003669927.

The spelling of 57826080 in words is "fifty-seven million, eight hundred twenty-six thousand, eighty".