82232640 has 168 divisors, whose sum is σ = 323331840. Its totient is φ = 18791424.

The previous prime is 82232639. The next prime is 82232671. The reversal of 82232640 is 4623228.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18121 + ... + 22199.

Almost surely, 2^82232640 is an apocalyptic number.

82232640 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 82232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161665920).

82232640 is an abundant number, since it is smaller than the sum of its proper divisors (241099200).

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

82232640 is a wasteful number, since it uses less digits than its factorization.

82232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82232640 is about 9068.2214353202. The cubic root of 82232640 is about 434.8586143762.

Adding to 82232640 its reverse (4623228), we get a palindrome (86855868).

The spelling of 82232640 in words is "eighty-two million, two hundred thirty-two thousand, six hundred forty".