83600868 has 48 divisors (see below), whose sum is σ = 211397760. Its totient is φ = 25561344.

The previous prime is 83600861. The next prime is 83600873. The reversal of 83600868 is 86800638.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83600861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24448 + ... + 27656.

It is an arithmetic number, because the mean of its divisors is an integer number (4404120).

Almost surely, 2^83600868 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 83600868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105698880).

83600868 is an abundant number, since it is smaller than the sum of its proper divisors (127796892).

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

83600868 is a wasteful number, since it uses less digits than its factorization.

83600868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 83600868 is about 9143.3510268391. The cubic root of 83600868 is about 437.2571591645.

The spelling of 83600868 in words is "eighty-three million, six hundred thousand, eight hundred sixty-eight".