83126736 has 400 divisors, whose sum is σ = 324086400. Its totient is φ = 20321280.

The previous prime is 83126677. The next prime is 83126759. The reversal of 83126736 is 63762138.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 83126736.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4889800 + ... + 4889816.

It is an arithmetic number, because the mean of its divisors is an integer number (810216).

Almost surely, 2^83126736 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 83126736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162043200).

83126736 is an abundant number, since it is smaller than the sum of its proper divisors (240959664).

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

83126736 is a wasteful number, since it uses less digits than its factorization.

83126736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 83126736 is about 9117.3864676233. The cubic root of 83126736 is about 436.4289748752.

The spelling of 83126736 in words is "eighty-three million, one hundred twenty-six thousand, seven hundred thirty-six".