826406280 has 128 divisors (see below), whose sum is σ = 3148243200. Its totient is φ = 188891136.

The previous prime is 826406267. The next prime is 826406297. The reversal of 826406280 is 82604628.

826406280 is a `hidden beast` number, since 8 + 2 + 640 + 6 + 2 + 8 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 47097 + ... + 62216.

It is an arithmetic number, because the mean of its divisors is an integer number (24595650).

Almost surely, 2^826406280 is an apocalyptic number.

It is an amenable number.

826406280 is an abundant number, since it is smaller than the sum of its proper divisors (2321836920).

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

826406280 is a wasteful number, since it uses less digits than its factorization.

826406280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109340 (or 109330 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 826406280 is about 28747.2830020508. The cubic root of 826406280 is about 938.4213278687.

The spelling of 826406280 in words is "eight hundred twenty-six million, four hundred six thousand, two hundred eighty".