1009164336 has 80 divisors (see below), whose sum is σ = 2787393024. Its totient is φ = 313500672.

The previous prime is 1009164323. The next prime is 1009164341. The reversal of 1009164336 is 6334619001.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1009164297 and 1009164306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 78045 + ... + 90051.

Almost surely, 2^1009164336 is an apocalyptic number.

1009164336 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 1009164336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393696512).

1009164336 is an abundant number, since it is smaller than the sum of its proper divisors (1778228688).

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

1009164336 is a wasteful number, since it uses less digits than its factorization.

1009164336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12138 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 1009164336 is about 31767.3470091539. The cubic root of 1009164336 is about 1003.0454942160.

The spelling of 1009164336 in words is "one billion, nine million, one hundred sixty-four thousand, three hundred thirty-six".