83934400 has 168 divisors, whose sum is σ = 238109760. Its totient is φ = 28800000.

The previous prime is 83934397. The next prime is 83934413. The reversal of 83934400 is 443938.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334275 + ... + 334525.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^83934400 is an apocalyptic number.

83934400 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 83934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119054880).

83934400 is an abundant number, since it is smaller than the sum of its proper divisors (154175360).

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

83934400 is a wasteful number, since it uses less digits than its factorization.

83934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 83934400 is about 9161.5719175259. The cubic root of 83934400 is about 437.8378777680.

The spelling of 83934400 in words is "eighty-three million, nine hundred thirty-four thousand, four hundred".