83089824 has 48 divisors (see below), whose sum is σ = 219415392. Its totient is φ = 27531008.

The previous prime is 83089817. The next prime is 83089861. The reversal of 83089824 is 42898038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14107 + ... + 19109.

It is an arithmetic number, because the mean of its divisors is an integer number (4571154).

Almost surely, 2^83089824 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 83089824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109707696).

83089824 is an abundant number, since it is smaller than the sum of its proper divisors (136325568).

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

83089824 is a wasteful number, since it uses less digits than its factorization.

83089824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 83089824 is about 9115.3619785503. The cubic root of 83089824 is about 436.3643672968.

The spelling of 83089824 in words is "eighty-three million, eighty-nine thousand, eight hundred twenty-four".