1057086660 has 192 divisors, whose sum is σ = 3590092800. Its totient is φ = 227017728.

The previous prime is 1057086649. The next prime is 1057086661. The reversal of 1057086660 is 666807501.

1057086660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057086660² = 2234864413499911200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057086661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1108744 + ... + 1109696.

It is an arithmetic number, because the mean of its divisors is an integer number (18698400).

Almost surely, 2^1057086660 is an apocalyptic number.

1057086660 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 1057086660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795046400).

1057086660 is an abundant number, since it is smaller than the sum of its proper divisors (2533006140).

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

1057086660 is a wasteful number, since it uses less digits than its factorization.

1057086660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1057086660 is about 32512.8691443865. The cubic root of 1057086660 is about 1018.6778524941.

The spelling of 1057086660 in words is "one billion, fifty-seven million, eighty-six thousand, six hundred sixty".