83426112 has 420 divisors, whose sum is σ = 327009760. Its totient is φ = 20528640.

The previous prime is 83426051. The next prime is 83426117. The reversal of 83426112 is 21162438.

83426112 is a `hidden beast` number, since 8 + 3 + 42 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (2304) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83426117) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390839 + ... + 4390857.

Almost surely, 2^83426112 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 83426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163504880).

83426112 is an abundant number, since it is smaller than the sum of its proper divisors (243583648).

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

83426112 is a wasteful number, since it uses less digits than its factorization.

83426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83426112 is about 9133.7895749793. The cubic root of 83426112 is about 436.9522715094.

It can be divided in two parts, 83426 and 112, that added together give a palindrome (83538).

The spelling of 83426112 in words is "eighty-three million, four hundred twenty-six thousand, one hundred twelve".