82803690 has 48 divisors (see below), whose sum is σ = 216871200. Its totient is φ = 21918816.

The previous prime is 82803689. The next prime is 82803737. The reversal of 82803690 is 9630828.

It is a super-2 number, since 2×82803690² = 13712902155232200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9201 + ... + 15819.

It is an arithmetic number, because the mean of its divisors is an integer number (4518150).

Almost surely, 2^82803690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82803690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108435600).

82803690 is an abundant number, since it is smaller than the sum of its proper divisors (134067510).

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

82803690 is a wasteful number, since it uses less digits than its factorization.

82803690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6768 counting only the distinct ones).

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

The square root of 82803690 is about 9099.6532900985. The cubic root of 82803690 is about 435.8628928091.

The spelling of 82803690 in words is "eighty-two million, eight hundred three thousand, six hundred ninety".