83881746 has 96 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 24296832.

The previous prime is 83881741. The next prime is 83881747. The reversal of 83881746 is 64718838.

It is a super-2 number, since 2×83881746² = 14072294624017032, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83881741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318811 + ... + 319073.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^83881746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83881746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

83881746 is an abundant number, since it is smaller than the sum of its proper divisors (123685614).

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

83881746 is a wasteful number, since it uses less digits than its factorization.

83881746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 83881746 is about 9158.6978332075. The cubic root of 83881746 is about 437.7463033240.

The spelling of 83881746 in words is "eighty-three million, eight hundred eighty-one thousand, seven hundred forty-six".