83678672 has 120 divisors (see below), whose sum is σ = 213057792. Its totient is φ = 31449600.

The previous prime is 83678657. The next prime is 83678681. The reversal of 83678672 is 27687638.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267188 + ... + 267500.

Almost surely, 2^83678672 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 83678672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106528896).

83678672 is an abundant number, since it is smaller than the sum of its proper divisors (129379120).

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

83678672 is a wasteful number, since it uses less digits than its factorization.

83678672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 364 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 83678672 is about 9147.6047138035. The cubic root of 83678672 is about 437.3927630503.

The spelling of 83678672 in words is "eighty-three million, six hundred seventy-eight thousand, six hundred seventy-two".