1057906080 has 864 divisors, whose sum is σ = 4840093440. Its totient is φ = 207728640.

The previous prime is 1057906021. The next prime is 1057906097. The reversal of 1057906080 is 806097501.

1057906080 is a `hidden beast` number, since 1 + 0 + 579 + 0 + 6 + 0 + 80 = 666.

It is a super-2 number, since 2×1057906080² = 2238330548201932800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 22508617 + ... + 22508663.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2^1057906080 is an apocalyptic number.

1057906080 is a gapful number since it is divisible by the number (10) 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 1057906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420046720).

1057906080 is an abundant number, since it is smaller than the sum of its proper divisors (3782187360).

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

1057906080 is a wasteful number, since it uses less digits than its factorization.

1057906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1057906080 is about 32525.4681749548. The cubic root of 1057906080 is about 1018.9410000821.

The spelling of 1057906080 in words is "one billion, fifty-seven million, nine hundred six thousand, eighty".