83749800 has 96 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 22087680.

The previous prime is 83749789. The next prime is 83749811. The reversal of 83749800 is 894738.

It is an interprime number because it is at equal distance from previous prime (83749789) and next prime (83749811).

It is an unprimeable number.

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, 57481 + ... + 58919.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2^83749800 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 83749800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

83749800 is an abundant number, since it is smaller than the sum of its proper divisors (178733400).

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

83749800 is a wasteful number, since it uses less digits than its factorization.

83749800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 83749800 is about 9151.4916816877. The cubic root of 83749800 is about 437.5166578691.

The spelling of 83749800 in words is "eighty-three million, seven hundred forty-nine thousand, eight hundred".