82951660 has 48 divisors (see below), whose sum is σ = 196180992. Its totient is φ = 29188800.

The previous prime is 82951621. The next prime is 82951667. The reversal of 82951660 is 6615928.

It is not an unprimeable number, because it can be changed into a prime (82951667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 12901.

It is an arithmetic number, because the mean of its divisors is an integer number (4087104).

Almost surely, 2^82951660 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 82951660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98090496).

82951660 is an abundant number, since it is smaller than the sum of its proper divisors (113229332).

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

82951660 is a wasteful number, since it uses less digits than its factorization.

82951660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 82951660 is about 9107.7801905843. The cubic root of 82951660 is about 436.1223669665.

The spelling of 82951660 in words is "eighty-two million, nine hundred fifty-one thousand, six hundred sixty".