82968288 has 96 divisors (see below), whose sum is σ = 246960000. Its totient is φ = 24178176.

The previous prime is 82968287. The next prime is 82968289. The reversal of 82968288 is 88286928.

It is an interprime number because it is at equal distance from previous prime (82968287) and next prime (82968289).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82968288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82968283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21963 + ... + 25461.

It is an arithmetic number, because the mean of its divisors is an integer number (2572500).

Almost surely, 2^82968288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480000).

82968288 is an abundant number, since it is smaller than the sum of its proper divisors (163991712).

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

82968288 is a wasteful number, since it uses less digits than its factorization.

82968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3536 counting only the distinct ones).

The product of its digits is 884736, while the sum is 51.

The square root of 82968288 is about 9108.6929907644. The cubic root of 82968288 is about 436.1515058578.

The spelling of 82968288 in words is "eighty-two million, nine hundred sixty-eight thousand, two hundred eighty-eight".