811739136 has 96 divisors (see below), whose sum is σ = 2330808480. Its totient is φ = 249741312.

The previous prime is 811739119. The next prime is 811739167. The reversal of 811739136 is 631937118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 811739094 and 811739103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74791 + ... + 84953.

It is an arithmetic number, because the mean of its divisors is an integer number (24279255).

Almost surely, 2^811739136 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 811739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165404240).

811739136 is an abundant number, since it is smaller than the sum of its proper divisors (1519069344).

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

811739136 is a wasteful number, since it uses less digits than its factorization.

811739136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10201 (or 10181 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 811739136 is about 28491.0360639974. The cubic root of 811739136 is about 932.8364230183.

It can be divided in two parts, 81173 and 9136, that added together give a palindrome (90309).

The spelling of 811739136 in words is "eight hundred eleven million, seven hundred thirty-nine thousand, one hundred thirty-six".