83672344 has 64 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 34007424.

The previous prime is 83672341. The next prime is 83672357. The reversal of 83672344 is 44327638.

It is a happy number.

It is a super-2 number, since 2×83672344² = 14002122300908672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83672341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214902 + ... + 215290.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^83672344 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 83672344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

83672344 is an abundant number, since it is smaller than the sum of its proper divisors (105025256).

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

83672344 is a wasteful number, since it uses less digits than its factorization.

83672344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its digits is 96768, while the sum is 37.

The square root of 83672344 is about 9147.2588243692. The cubic root of 83672344 is about 437.3817371775.

The spelling of 83672344 in words is "eighty-three million, six hundred seventy-two thousand, three hundred forty-four".