82306960 has 20 divisors (see below), whose sum is σ = 191363868. Its totient is φ = 32922752.

The previous prime is 82306957. The next prime is 82306969. The reversal of 82306960 is 6960328.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30294016 + 52012944 = 5504^2 + 7212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (82306969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514339 + ... + 514498.

Almost surely, 2^82306960 is an apocalyptic number.

82306960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82306960 is an abundant number, since it is smaller than the sum of its proper divisors (109056908).

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

82306960 is a wasteful number, since it uses less digits than its factorization.

82306960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028850 (or 1028844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 82306960 is about 9072.3183365665. The cubic root of 82306960 is about 434.9895800560.

The spelling of 82306960 in words is "eighty-two million, three hundred six thousand, nine hundred sixty".