82189440 has 192 divisors, whose sum is σ = 299145600. Its totient is φ = 20736000.

The previous prime is 82189439. The next prime is 82189477. The reversal of 82189440 is 4498128.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 82189395 and 82189404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109065 + ... + 109815.

It is an arithmetic number, because the mean of its divisors is an integer number (1558050).

Almost surely, 2^82189440 is an apocalyptic number.

82189440 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 82189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149572800).

82189440 is an abundant number, since it is smaller than the sum of its proper divisors (216956160).

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

82189440 is a wasteful number, since it uses less digits than its factorization.

82189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82189440 is about 9065.8391779250. The cubic root of 82189440 is about 434.7824516637.

The spelling of 82189440 in words is "eighty-two million, one hundred eighty-nine thousand, four hundred forty".