809874936 has 160 divisors (see below), whose sum is σ = 2465379840. Its totient is φ = 246903552.

The previous prime is 809874931. The next prime is 809874941. The reversal of 809874936 is 639478908.

809874936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (809874931) and next prime (809874941).

It is a super-2 number, since 2×809874936² = 1311794823922008192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809874931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1069470 + ... + 1070226.

It is an arithmetic number, because the mean of its divisors is an integer number (15408624).

Almost surely, 2^809874936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809874936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232689920).

809874936 is an abundant number, since it is smaller than the sum of its proper divisors (1655504904).

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

809874936 is a wasteful number, since it uses less digits than its factorization.

809874936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 809874936 is about 28458.3017061806. The cubic root of 809874936 is about 932.1217736469.

The spelling of 809874936 in words is "eight hundred nine million, eight hundred seventy-four thousand, nine hundred thirty-six".