83826456 has 128 divisors (see below), whose sum is σ = 259200000. Its totient is φ = 22503936.

The previous prime is 83826419. The next prime is 83826481. The reversal of 83826456 is 65462838.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139645 + ... + 140243.

It is an arithmetic number, because the mean of its divisors is an integer number (2025000).

Almost surely, 2^83826456 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 83826456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600000).

83826456 is an abundant number, since it is smaller than the sum of its proper divisors (175373544).

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

83826456 is a wasteful number, since it uses less digits than its factorization.

83826456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 628 counting only the distinct ones).

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

The square root of 83826456 is about 9155.6788934519. The cubic root of 83826456 is about 437.6501031614.

The spelling of 83826456 in words is "eighty-three million, eight hundred twenty-six thousand, four hundred fifty-six".