83648992 has 96 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 33965568.

The previous prime is 83648987. The next prime is 83649019. The reversal of 83648992 is 29984638.

Its product of digits (746496) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513103 + ... + 513265.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 2^83648992 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 83648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

83648992 is an abundant number, since it is smaller than the sum of its proper divisors (114725408).

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

83648992 is a wasteful number, since it uses less digits than its factorization.

83648992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 280 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The square root of 83648992 is about 9145.9822873216. The cubic root of 83648992 is about 437.3410439681.

The spelling of 83648992 in words is "eighty-three million, six hundred forty-eight thousand, nine hundred ninety-two".