83100672 has 132 divisors (see below), whose sum is σ = 245246976. Its totient is φ = 27095040.

The previous prime is 83100649. The next prime is 83100673. The reversal of 83100672 is 27600138.

It is not an unprimeable number, because it can be changed into a prime (83100673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654273 + ... + 654399.

Almost surely, 2^83100672 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 83100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122623488).

83100672 is an abundant number, since it is smaller than the sum of its proper divisors (162146304).

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

83100672 is a wasteful number, since it uses less digits than its factorization.

83100672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 83100672 is about 9115.9569985822. The cubic root of 83100672 is about 436.3833566845.

The spelling of 83100672 in words is "eighty-three million, one hundred thousand, six hundred seventy-two".