1040906880 has 192 divisors, whose sum is σ = 3871150920. Its totient is φ = 256204800.

The previous prime is 1040906869. The next prime is 1040906897. The reversal of 1040906880 is 886090401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 811566144 + 229340736 = 28488^2 + 15144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 67930 + ... + 81830.

Almost surely, 2^1040906880 is an apocalyptic number.

1040906880 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 1040906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935575460).

1040906880 is an abundant number, since it is smaller than the sum of its proper divisors (2830244040).

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

1040906880 is a wasteful number, since it uses less digits than its factorization.

1040906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13939 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1040906880 is about 32263.0885068370. The cubic root of 1040906880 is about 1013.4538099294.

The spelling of 1040906880 in words is "one billion, forty million, nine hundred six thousand, eight hundred eighty".