826945440 has 96 divisors (see below), whose sum is σ = 2694746880. Its totient is φ = 212911104.

The previous prime is 826945409. The next prime is 826945447. The reversal of 826945440 is 44549628.

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

It is a junction number, because it is equal to n+sod(n) for n = 826945392 and 826945401.

It is not an unprimeable number, because it can be changed into a prime (826945447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15784 + ... + 43623.

It is an arithmetic number, because the mean of its divisors is an integer number (28070280).

Almost surely, 2^826945440 is an apocalyptic number.

826945440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826945440 is an abundant number, since it is smaller than the sum of its proper divisors (1867801440).

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

826945440 is a wasteful number, since it uses less digits than its factorization.

826945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59454 (or 59446 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 826945440 is about 28756.6590549041. The cubic root of 826945440 is about 938.6253636089.

The spelling of 826945440 in words is "eight hundred twenty-six million, nine hundred forty-five thousand, four hundred forty".