83100864 has 252 divisors, whose sum is σ = 284984952. Its totient is φ = 21288960.

The previous prime is 83100833. The next prime is 83100869. The reversal of 83100864 is 46800138.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83100869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138332 + ... + 1138404.

Almost surely, 2^83100864 is an apocalyptic number.

83100864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492476).

83100864 is an abundant number, since it is smaller than the sum of its proper divisors (201884088).

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

83100864 is a wasteful number, since it uses less digits than its factorization.

83100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 83100864 is about 9115.9675295604. The cubic root of 83100864 is about 436.3836927650.

The spelling of 83100864 in words is "eighty-three million, one hundred thousand, eight hundred sixty-four".