826401090 has 32 divisors (see below), whose sum is σ = 2029490496. Its totient is φ = 215248320.

The previous prime is 826401077. The next prime is 826401119. The reversal of 826401090 is 90104628.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319021 + ... + 321600.

It is an arithmetic number, because the mean of its divisors is an integer number (63421578).

Almost surely, 2^826401090 is an apocalyptic number.

826401090 is an abundant number, since it is smaller than the sum of its proper divisors (1203089406).

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

826401090 is a wasteful number, since it uses less digits than its factorization.

826401090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640674.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 826401090 is about 28747.1927325087. The cubic root of 826401090 is about 938.4193633721.

The spelling of 826401090 in words is "eight hundred twenty-six million, four hundred one thousand, ninety".