826013664 has 72 divisors (see below), whose sum is σ = 2684550960. Its totient is φ = 236003328.

The previous prime is 826013621. The next prime is 826013687. The reversal of 826013664 is 466310628.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×826013664² = 1364597146229409792, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 202849 + ... + 206880.

It is an arithmetic number, because the mean of its divisors is an integer number (37285430).

Almost surely, 2^826013664 is an apocalyptic number.

826013664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

826013664 is an abundant number, since it is smaller than the sum of its proper divisors (1858537296).

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

826013664 is a wasteful number, since it uses less digits than its factorization.

826013664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409752 (or 409741 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 826013664 is about 28740.4534410994. The cubic root of 826013664 is about 938.2726933131.

The spelling of 826013664 in words is "eight hundred twenty-six million, thirteen thousand, six hundred sixty-four".