83438424 has 128 divisors (see below), whose sum is σ = 247968000. Its totient is φ = 26244000.

The previous prime is 83438413. The next prime is 83438437. The reversal of 83438424 is 42483438.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332299 + ... + 332549.

It is an arithmetic number, because the mean of its divisors is an integer number (1937250).

Almost surely, 2^83438424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83438424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123984000).

83438424 is an abundant number, since it is smaller than the sum of its proper divisors (164529576).

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

83438424 is a wasteful number, since it uses less digits than its factorization.

83438424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 275 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 83438424 is about 9134.4635310455. The cubic root of 83438424 is about 436.9737655461.

The spelling of 83438424 in words is "eighty-three million, four hundred thirty-eight thousand, four hundred twenty-four".