82966240 has 48 divisors (see below), whose sum is σ = 224011872. Its totient is φ = 28445184.

The previous prime is 82966229. The next prime is 82966249. The reversal of 82966240 is 4266928.

It is a self number, because there is not a number n which added to its sum of digits gives 82966240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82966249) 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, 35919 + ... + 38158.

It is an arithmetic number, because the mean of its divisors is an integer number (4666914).

Almost surely, 2^82966240 is an apocalyptic number.

82966240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82966240 is an abundant number, since it is smaller than the sum of its proper divisors (141045632).

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

82966240 is a wasteful number, since it uses less digits than its factorization.

82966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74099 (or 74091 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 82966240 is about 9108.5805699900. The cubic root of 82966240 is about 436.1479171548.

The spelling of 82966240 in words is "eighty-two million, nine hundred sixty-six thousand, two hundred forty".