83849472 has 144 divisors (see below), whose sum is σ = 283543680. Its totient is φ = 23943168.

The previous prime is 83849459. The next prime is 83849473. The reversal of 83849472 is 27494838.

It is a tau number, because it is divible by the number of its divisors (144).

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 (83849473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47518 + ... + 49250.

Almost surely, 2^83849472 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 83849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141771840).

83849472 is an abundant number, since it is smaller than the sum of its proper divisors (199694208).

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

83849472 is a wasteful number, since it uses less digits than its factorization.

83849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1745 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 83849472 is about 9156.9357320012. The cubic root of 83849472 is about 437.6901542921.

The spelling of 83849472 in words is "eighty-three million, eight hundred forty-nine thousand, four hundred seventy-two".