1057663080 has 96 divisors (see below), whose sum is σ = 3445401960. Its totient is φ = 281387520.

The previous prime is 1057663051. The next prime is 1057663099. The reversal of 1057663080 is 803667501.

1057663080 is a `hidden beast` number, since 1 + 0 + 576 + 6 + 3 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 914094756 + 143568324 = 30234^2 + 11982^2 .

It is a super-2 number, since 2×1057663080² = 2237302381590172800, 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 23 ways as a sum of consecutive naturals, for example, 162774 + ... + 169146.

Almost surely, 2^1057663080 is an apocalyptic number.

1057663080 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 1057663080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722700980).

1057663080 is an abundant number, since it is smaller than the sum of its proper divisors (2387738880).

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

1057663080 is a wasteful number, since it uses less digits than its factorization.

1057663080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6851 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1057663080 is about 32521.7324261793. The cubic root of 1057663080 is about 1018.8629775216.

The spelling of 1057663080 in words is "one billion, fifty-seven million, six hundred sixty-three thousand, eighty".