1009792656 has 100 divisors (see below), whose sum is σ = 3094620012. Its totient is φ = 316790784.

The previous prime is 1009792643. The next prime is 1009792681. The reversal of 1009792656 is 6562979001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 717382656 + 292410000 = 26784^2 + 17100^2 .

It is a super-2 number, since 2×1009792656² = 2039362416223068672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 885 + ... + 44948.

Almost surely, 2^1009792656 is an apocalyptic number.

1009792656 is a gapful number since it is divisible by the number (16) 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 1009792656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547310006).

1009792656 is an abundant number, since it is smaller than the sum of its proper divisors (2084827356).

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

1009792656 is a wasteful number, since it uses less digits than its factorization.

1009792656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45870 (or 45855 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1009792656 is about 31777.2348702652. The cubic root of 1009792656 is about 1003.2536211352.

The spelling of 1009792656 in words is "one billion, nine million, seven hundred ninety-two thousand, six hundred fifty-six".