1040905760 has 48 divisors (see below), whose sum is σ = 2469965400. Its totient is φ = 414529536.

The previous prime is 1040905753. The next prime is 1040905777. The reversal of 1040905760 is 675090401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1023232144 + 17673616 = 31988^2 + 4204^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22436 + ... + 50844.

Almost surely, 2^1040905760 is an apocalyptic number.

1040905760 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 1040905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234982700).

1040905760 is an abundant number, since it is smaller than the sum of its proper divisors (1429059640).

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

1040905760 is a wasteful number, since it uses less digits than its factorization.

1040905760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28653 (or 28645 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1040905760 is about 32263.0711495357. The cubic root of 1040905760 is about 1013.4534464423.

The spelling of 1040905760 in words is "one billion, forty million, nine hundred five thousand, seven hundred sixty".