82254320 has 40 divisors (see below), whose sum is σ = 191974320. Its totient is φ = 32775680.

The previous prime is 82254317. The next prime is 82254329. The reversal of 82254320 is 2345228.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 82254320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82254329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20651 + ... + 24309.

It is an arithmetic number, because the mean of its divisors is an integer number (4799358).

Almost surely, 2^82254320 is an apocalyptic number.

82254320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82254320 is an abundant number, since it is smaller than the sum of its proper divisors (109720000).

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

82254320 is a wasteful number, since it uses less digits than its factorization.

82254320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3953 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 82254320 is about 9069.4167397909. The cubic root of 82254320 is about 434.8968267226.

Adding to 82254320 its reverse (2345228), we get a palindrome (84599548).

The spelling of 82254320 in words is "eighty-two million, two hundred fifty-four thousand, three hundred twenty".