83234448 has 180 divisors, whose sum is σ = 272068524. Its totient is φ = 23654400.

The previous prime is 83234443. The next prime is 83234453. The reversal of 83234448 is 84443238.

It is an interprime number because it is at equal distance from previous prime (83234443) and next prime (83234453).

It can be written as a sum of positive squares in 2 ways, for example, as 60652944 + 22581504 = 7788^2 + 4752^2 .

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 not an unprimeable number, because it can be changed into a prime (83234443) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 296068 + ... + 296348.

Almost surely, 2^83234448 is an apocalyptic number.

83234448 is a gapful number since it is divisible by the number (88) 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 83234448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136034262).

83234448 is an abundant number, since it is smaller than the sum of its proper divisors (188834076).

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

83234448 is a wasteful number, since it uses less digits than its factorization.

83234448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 314 counting only the distinct ones).

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

The square root of 83234448 is about 9123.2915112913. The cubic root of 83234448 is about 436.6173953950.

The spelling of 83234448 in words is "eighty-three million, two hundred thirty-four thousand, four hundred forty-eight".