82482000 has 160 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 21529600.

The previous prime is 82481999. The next prime is 82482017. The reversal of 82482000 is 28428.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353884 + ... + 354116.

It is an arithmetic number, because the mean of its divisors is an integer number (1697436).

Almost surely, 2^82482000 is an apocalyptic number.

82482000 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 82482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

82482000 is an abundant number, since it is smaller than the sum of its proper divisors (189107760).

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

82482000 is a wasteful number, since it uses less digits than its factorization.

82482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 82482000 is about 9081.9601408507. The cubic root of 82482000 is about 435.2977219370.

The spelling of 82482000 in words is "eighty-two million, four hundred eighty-two thousand".