83887320 has 128 divisors (see below), whose sum is σ = 277655040. Its totient is φ = 20106240.

The previous prime is 83887319. The next prime is 83887351. The reversal of 83887320 is 2378838.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135652 + ... + 136268.

It is an arithmetic number, because the mean of its divisors is an integer number (2169180).

Almost surely, 2^83887320 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 83887320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138827520).

83887320 is an abundant number, since it is smaller than the sum of its proper divisors (193767720).

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

83887320 is a wasteful number, since it uses less digits than its factorization.

83887320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 83887320 is about 9159.0021290531. The cubic root of 83887320 is about 437.7559992907.

Subtracting from 83887320 its sum of digits (39), we obtain a square (83887281 = 9159²).

The spelling of 83887320 in words is "eighty-three million, eight hundred eighty-seven thousand, three hundred twenty".