82989810 has 48 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 21958560.

The previous prime is 82989769. The next prime is 82989817. The reversal of 82989810 is 1898928.

It is a super-2 number, since 2×82989810² = 13774617127672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (82989817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8271 + ... + 15309.

It is an arithmetic number, because the mean of its divisors is an integer number (4530240).

Almost surely, 2^82989810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82989810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108725760).

82989810 is an abundant number, since it is smaller than the sum of its proper divisors (134461710).

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

82989810 is a wasteful number, since it uses less digits than its factorization.

82989810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7183 (or 7180 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 82989810 is about 9109.8743130737. The cubic root of 82989810 is about 436.1892152100.

The spelling of 82989810 in words is "eighty-two million, nine hundred eighty-nine thousand, eight hundred ten".