83677632 has 56 divisors (see below), whose sum is σ = 223729296. Its totient is φ = 27598848.

The previous prime is 83677631. The next prime is 83677651. The reversal of 83677632 is 23677638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16378 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (3995166).

Almost surely, 2^83677632 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 83677632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111864648).

83677632 is an abundant number, since it is smaller than the sum of its proper divisors (140051664).

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

83677632 is a wasteful number, since it uses less digits than its factorization.

83677632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 83677632 is about 9147.5478681448. The cubic root of 83677632 is about 437.3909509981.

The spelling of 83677632 in words is "eighty-three million, six hundred seventy-seven thousand, six hundred thirty-two".