83824650 has 288 divisors, whose sum is σ = 292481280. Its totient is φ = 16727040.

The previous prime is 83824649. The next prime is 83824669. The reversal of 83824650 is 5642838.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 941806 + ... + 941894.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^83824650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83824650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146240640).

83824650 is an abundant number, since it is smaller than the sum of its proper divisors (208656630).

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

83824650 is a wasteful number, since it uses less digits than its factorization.

83824650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 83824650 is about 9155.5802656085. The cubic root of 83824650 is about 437.6469601531.

The spelling of 83824650 in words is "eighty-three million, eight hundred twenty-four thousand, six hundred fifty".