83286000 has 240 divisors, whose sum is σ = 332948928. Its totient is φ = 19008000.

The previous prime is 83285981. The next prime is 83286011. The reversal of 83286000 is 68238.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 125670 + ... + 126330.

Almost surely, 2^83286000 is an apocalyptic number.

83286000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83286000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166474464).

83286000 is an abundant number, since it is smaller than the sum of its proper divisors (249662928).

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

83286000 is a wasteful number, since it uses less digits than its factorization.

83286000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 83286000 is about 9126.1163700667. The cubic root of 83286000 is about 436.7075177549.

The spelling of 83286000 in words is "eighty-three million, two hundred eighty-six thousand".