826386864 has 80 divisors (see below), whose sum is σ = 2291540832. Its totient is φ = 255688704.

The previous prime is 826386859. The next prime is 826386889. The reversal of 826386864 is 468683628.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52632 + ... + 66504.

Almost surely, 2^826386864 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 826386864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145770416).

826386864 is an abundant number, since it is smaller than the sum of its proper divisors (1465153968).

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

826386864 is a wasteful number, since it uses less digits than its factorization.

826386864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13974 (or 13968 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 826386864 is about 28746.9452985878. The cubic root of 826386864 is about 938.4139785654.

The spelling of 826386864 in words is "eight hundred twenty-six million, three hundred eighty-six thousand, eight hundred sixty-four".