1009796000 has 48 divisors (see below), whose sum is σ = 2481078600. Its totient is φ = 403916800.

The previous prime is 1009795999. The next prime is 1009796003. The reversal of 1009796000 is 6979001.

It can be written as a sum of positive squares in 4 ways, for example, as 155052304 + 854743696 = 12452^2 + 29236^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1009796003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122225 + ... + 130224.

Almost surely, 2^1009796000 is an apocalyptic number.

1009796000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009796000 is an abundant number, since it is smaller than the sum of its proper divisors (1471282600).

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

1009796000 is an equidigital number, since it uses as much as digits as its factorization.

1009796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252474 (or 252456 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1009796000 is about 31777.2874865052. The cubic root of 1009796000 is about 1003.2547285825.

The spelling of 1009796000 in words is "one billion, nine million, seven hundred ninety-six thousand".