83089260 has 96 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 21988800.

The previous prime is 83089249. The next prime is 83089273. The reversal of 83089260 is 6298038.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 81031 + ... + 82049.

It is an arithmetic number, because the mean of its divisors is an integer number (2713200).

Almost surely, 2^83089260 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 83089260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

83089260 is an abundant number, since it is smaller than the sum of its proper divisors (177377940).

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

83089260 is a wasteful number, since it uses less digits than its factorization.

83089260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 83089260 is about 9115.3310417121. The cubic root of 83089260 is about 436.3633799714.

The spelling of 83089260 in words is "eighty-three million, eighty-nine thousand, two hundred sixty".