83849392 has 80 divisors (see below), whose sum is σ = 184407840. Its totient is φ = 36608000.

The previous prime is 83849377. The next prime is 83849393. The reversal of 83849392 is 29394838.

It is a super-3 number, since 3×83849392³ (a number of 25 digits) contains 333 as substring.

Its product of digits (373248) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (83849393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830142 + ... + 830242.

It is an arithmetic number, because the mean of its divisors is an integer number (2305098).

Almost surely, 2^83849392 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 83849392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92203920).

83849392 is an abundant number, since it is smaller than the sum of its proper divisors (100558448).

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

83849392 is a wasteful number, since it uses less digits than its factorization.

83849392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 83849392 is about 9156.9313637266. The cubic root of 83849392 is about 437.6900150933.

The spelling of 83849392 in words is "eighty-three million, eight hundred forty-nine thousand, three hundred ninety-two".