83848032 has 72 divisors (see below), whose sum is σ = 240720480. Its totient is φ = 27682560.

The previous prime is 83848003. The next prime is 83848073. The reversal of 83848032 is 23084838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30057 + ... + 32727.

It is an arithmetic number, because the mean of its divisors is an integer number (3343340).

Almost surely, 2^83848032 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 83848032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120360240).

83848032 is an abundant number, since it is smaller than the sum of its proper divisors (156872448).

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

83848032 is a wasteful number, since it uses less digits than its factorization.

83848032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83848032 is about 9156.8571027400. The cubic root of 83848032 is about 437.6876487011.

The spelling of 83848032 in words is "eighty-three million, eight hundred forty-eight thousand, thirty-two".