82262466 has 160 divisors (see below), whose sum is σ = 223933248. Its totient is φ = 22239360.

The previous prime is 82262449. The next prime is 82262471. The reversal of 82262466 is 66426228.

82262466 is a `hidden beast` number, since 8 + 22 + 624 + 6 + 6 = 666.

It is a super-2 number, since 2×82262466² = 13534226624802312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82262466.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1227765 + ... + 1227831.

Almost surely, 2^82262466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82262466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111966624).

82262466 is an abundant number, since it is smaller than the sum of its proper divisors (141670782).

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

82262466 is a wasteful number, since it uses less digits than its factorization.

82262466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 82262466 is about 9069.8658203967. The cubic root of 82262466 is about 434.9111828180.

It can be divided in two parts, 82262 and 466, that added together give a palindrome (82728).

The spelling of 82262466 in words is "eighty-two million, two hundred sixty-two thousand, four hundred sixty-six".