83674624 has 80 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 37365760.

The previous prime is 83674609. The next prime is 83674631. The reversal of 83674624 is 42647638.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 467367 + ... + 467545.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2^83674624 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 83674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

83674624 is an abundant number, since it is smaller than the sum of its proper divisors (101938496).

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

83674624 is a wasteful number, since it uses less digits than its factorization.

83674624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 83674624 is about 9147.3834510203. The cubic root of 83674624 is about 437.3857099012.

The spelling of 83674624 in words is "eighty-three million, six hundred seventy-four thousand, six hundred twenty-four".