826964640 has 120 divisors (see below), whose sum is σ = 2918541780. Its totient is φ = 220520448.

The previous prime is 826964639. The next prime is 826964651. The reversal of 826964640 is 46469628.

It can be written as a sum of positive squares in 2 ways, for example, as 684973584 + 141991056 = 26172^2 + 11916^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18945 + ... + 44864.

Almost surely, 2^826964640 is an apocalyptic number.

826964640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826964640 is an abundant number, since it is smaller than the sum of its proper divisors (2091577140).

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

826964640 is a wasteful number, since it uses less digits than its factorization.

826964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63836 (or 63819 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 826964640 is about 28756.9928886871. The cubic root of 826964640 is about 938.6326278800.

The spelling of 826964640 in words is "eight hundred twenty-six million, nine hundred sixty-four thousand, six hundred forty".