83413344 has 192 divisors, whose sum is σ = 270950400. Its totient is φ = 21938688.

The previous prime is 83413313. The next prime is 83413349. The reversal of 83413344 is 44331438.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83413349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600027 + ... + 600165.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^83413344 is an apocalyptic number.

83413344 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 83413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

83413344 is an abundant number, since it is smaller than the sum of its proper divisors (187537056).

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

83413344 is a wasteful number, since it uses less digits than its factorization.

83413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 217 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 83413344 is about 9133.0906050471. The cubic root of 83413344 is about 436.9299791635.

It can be divided in two parts, 834 and 13344, that multiplied together give a square (11128896 = 3336²).

The spelling of 83413344 in words is "eighty-three million, four hundred thirteen thousand, three hundred forty-four".