83868948 has 72 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 26554176.

The previous prime is 83868943. The next prime is 83868959. The reversal of 83868948 is 84986838.

It is a junction number, because it is equal to n+sod(n) for n = 83868894 and 83868903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83868943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164518 + ... + 165026.

It is an arithmetic number, because the mean of its divisors is an integer number (3094000).

Almost surely, 2^83868948 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 83868948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

83868948 is an abundant number, since it is smaller than the sum of its proper divisors (138899052).

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

83868948 is a wasteful number, since it uses less digits than its factorization.

83868948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 736 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 83868948 is about 9157.9991264468. Note that the first 3 decimals coincide. The cubic root of 83868948 is about 437.7240395920.

The spelling of 83868948 in words is "eighty-three million, eight hundred sixty-eight thousand, nine hundred forty-eight".