83368800 has 108 divisors (see below), whose sum is σ = 294004620. Its totient is φ = 22229760.

The previous prime is 83368757. The next prime is 83368819. The reversal of 83368800 is 886338.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1411 + ... + 12989.

It is an arithmetic number, because the mean of its divisors is an integer number (2722265).

Almost surely, 2^83368800 is an apocalyptic number.

83368800 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 83368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147002310).

83368800 is an abundant number, since it is smaller than the sum of its proper divisors (210635820).

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

83368800 is a wasteful number, since it uses less digits than its factorization.

83368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83368800 is about 9130.6516744425. The cubic root of 83368800 is about 436.8521895536.

The spelling of 83368800 in words is "eighty-three million, three hundred sixty-eight thousand, eight hundred".