826450632 has 192 divisors, whose sum is σ = 2641766400. Its totient is φ = 228528000.

The previous prime is 826450591. The next prime is 826450649. The reversal of 826450632 is 236054628.

826450632 is a `hidden beast` number, since 8 + 2 + 645 + 0 + 6 + 3 + 2 = 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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292507 + ... + 3292757.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200).

Almost surely, 2^826450632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826450632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320883200).

826450632 is an abundant number, since it is smaller than the sum of its proper divisors (1815315768).

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

826450632 is a wasteful number, since it uses less digits than its factorization.

826450632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 826450632 is about 28748.0544037331. The cubic root of 826450632 is about 938.4381154622.

The spelling of 826450632 in words is "eight hundred twenty-six million, four hundred fifty thousand, six hundred thirty-two".