83268800 has 84 divisors (see below), whose sum is σ = 208062576. Its totient is φ = 32793600.

The previous prime is 83268797. The next prime is 83268803. The reversal of 83268800 is 886238.

It is an interprime number because it is at equal distance from previous prime (83268797) and next prime (83268803).

It is not an unprimeable number, because it can be changed into a prime (83268803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113234 + ... + 113966.

Almost surely, 2^83268800 is an apocalyptic number.

83268800 is a gapful number since it is divisible by the number (80) 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 83268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104031288).

83268800 is an abundant number, since it is smaller than the sum of its proper divisors (124793776).

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

83268800 is a wasteful number, since it uses less digits than its factorization.

83268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 83268800 is about 9125.1739709443. The cubic root of 83268800 is about 436.6774531324.

The spelling of 83268800 in words is "eighty-three million, two hundred sixty-eight thousand, eight hundred".