82968264 has 24 divisors (see below), whose sum is σ = 224705910. Its totient is φ = 27656064.

The previous prime is 82968253. The next prime is 82968283. The reversal of 82968264 is 46286928.

It can be written as a sum of positive squares in only one way, i.e., 80245764 + 2722500 = 8958^2 + 1650^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 576097 + ... + 576240.

Almost surely, 2^82968264 is an apocalyptic number.

It is an amenable number.

82968264 is an abundant number, since it is smaller than the sum of its proper divisors (141737646).

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

82968264 is a wasteful number, since it uses less digits than its factorization.

82968264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152349 (or 1152342 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82968264 is about 9108.6916733415. The cubic root of 82968264 is about 436.1514638031.

The spelling of 82968264 in words is "eighty-two million, nine hundred sixty-eight thousand, two hundred sixty-four".