1050688080 has 120 divisors (see below), whose sum is σ = 3800022408. Its totient is φ = 258628608.

The previous prime is 1050688069. The next prime is 1050688081. The reversal of 1050688080 is 808860501.

It can be written as a sum of positive squares in 4 ways, for example, as 5588496 + 1045099584 = 2364^2 + 32328^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1050688080² = 2207890882908172800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050688081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46767 + ... + 65486.

Almost surely, 2^1050688080 is an apocalyptic number.

1050688080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050688080 is an abundant number, since it is smaller than the sum of its proper divisors (2749334328).

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

1050688080 is a wasteful number, since it uses less digits than its factorization.

1050688080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112285 (or 112276 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1050688080 is about 32414.3190580953. The cubic root of 1050688080 is about 1016.6183280191.

The spelling of 1050688080 in words is "one billion, fifty million, six hundred eighty-eight thousand, eighty".