83934144 has 196 divisors, whose sum is σ = 286505904. Its totient is φ = 23887872.

The previous prime is 83934127. The next prime is 83934157. The reversal of 83934144 is 44143938.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 83934099 and 83934108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326464 + ... + 326720.

Almost surely, 2^83934144 is an apocalyptic number.

83934144 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 83934144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143252952).

83934144 is an abundant number, since it is smaller than the sum of its proper divisors (202571760).

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

83934144 is an equidigital number, since it uses as much as digits as its factorization.

83934144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 83934144 is about 9161.5579461138. The cubic root of 83934144 is about 437.8374326323.

The spelling of 83934144 in words is "eighty-three million, nine hundred thirty-four thousand, one hundred forty-four".