80582516 has 96 divisors (see below), whose sum is σ = 181665792. Its totient is φ = 30481920.

The previous prime is 80582497. The next prime is 80582519. The reversal of 80582516 is 61528508.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80582519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634445 + ... + 634571.

It is an arithmetic number, because the mean of its divisors is an integer number (1892352).

Almost surely, 2^80582516 is an apocalyptic number.

80582516 is a gapful number since it is divisible by the number (86) 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 80582516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90832896).

80582516 is an abundant number, since it is smaller than the sum of its proper divisors (101083276).

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

80582516 is a wasteful number, since it uses less digits than its factorization.

80582516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 35.

The square root of 80582516 is about 8976.7764815662. The cubic root of 80582516 is about 431.9302370772.

The spelling of 80582516 in words is "eighty million, five hundred eighty-two thousand, five hundred sixteen".