82432000 has 208 divisors, whose sum is σ = 245336832. Its totient is φ = 27033600.

The previous prime is 82431991. The next prime is 82432019. The reversal of 82432000 is 23428.

It is a happy number.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3583989 + ... + 3584011.

It is an arithmetic number, because the mean of its divisors is an integer number (1179504).

Almost surely, 2^82432000 is an apocalyptic number.

82432000 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 82432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668416).

82432000 is an abundant number, since it is smaller than the sum of its proper divisors (162904832).

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

82432000 is an equidigital number, since it uses as much as digits as its factorization.

82432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 82432000 is about 9079.2070138311. The cubic root of 82432000 is about 435.2097460332.

Adding to 82432000 its reverse (23428), we get a palindrome (82455428).

The spelling of 82432000 in words is "eighty-two million, four hundred thirty-two thousand".