83885400 has 144 divisors (see below), whose sum is σ = 291610800. Its totient is φ = 21584640.

The previous prime is 83885387. The next prime is 83885413. The reversal of 83885400 is 458838.

It is an interprime number because it is at equal distance from previous prime (83885387) and next prime (83885413).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51397 + ... + 53003.

It is an arithmetic number, because the mean of its divisors is an integer number (2025075).

Almost surely, 2^83885400 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 83885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805400).

83885400 is an abundant number, since it is smaller than the sum of its proper divisors (207725400).

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

83885400 is a wasteful number, since it uses less digits than its factorization.

83885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 83885400 is about 9158.8973135416. The cubic root of 83885400 is about 437.7526595013.

The spelling of 83885400 in words is "eighty-three million, eight hundred eighty-five thousand, four hundred".