826321416 has 16 divisors (see below), whose sum is σ = 2065803600. Its totient is φ = 275440464.

The previous prime is 826321393. The next prime is 826321417. The reversal of 826321416 is 614123628.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (826321417) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17215006 + ... + 17215053.

It is an arithmetic number, because the mean of its divisors is an integer number (129112725).

Almost surely, 2^826321416 is an apocalyptic number.

It is an amenable number.

826321416 is an abundant number, since it is smaller than the sum of its proper divisors (1239482184).

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

826321416 is a wasteful number, since it uses less digits than its factorization.

826321416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430068 (or 34430064 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 826321416 is about 28745.8069290114. The cubic root of 826321416 is about 938.3892044787.

It can be divided in two parts, 82632 and 1416, that added together give a palindrome (84048).

The spelling of 826321416 in words is "eight hundred twenty-six million, three hundred twenty-one thousand, four hundred sixteen".