826011864 has 128 divisors (see below), whose sum is σ = 2382336000. Its totient is φ = 264902400.

The previous prime is 826011853. The next prime is 826011889. The reversal of 826011864 is 468110628.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881357 + ... + 1881795.

It is an arithmetic number, because the mean of its divisors is an integer number (18612000).

Almost surely, 2^826011864 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 826011864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191168000).

826011864 is an abundant number, since it is smaller than the sum of its proper divisors (1556324136).

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

826011864 is a wasteful number, since it uses less digits than its factorization.

826011864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 826011864 is about 28740.4221263363. The cubic root of 826011864 is about 938.2720117698.

The spelling of 826011864 in words is "eight hundred twenty-six million, eleven thousand, eight hundred sixty-four".