82264140 has 144 divisors (see below), whose sum is σ = 297813600. Its totient is φ = 18797184.

The previous prime is 82264103. The next prime is 82264159. The reversal of 82264140 is 4146228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24906 + ... + 28014.

It is an arithmetic number, because the mean of its divisors is an integer number (2068150).

Almost surely, 2^82264140 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 82264140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148906800).

82264140 is an abundant number, since it is smaller than the sum of its proper divisors (215549460).

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

82264140 is a wasteful number, since it uses less digits than its factorization.

82264140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82264140 is about 9069.9581035416. The cubic root of 82264140 is about 434.9141328730.

The spelling of 82264140 in words is "eighty-two million, two hundred sixty-four thousand, one hundred forty".