81828264 has 32 divisors (see below), whose sum is σ = 233795520. Its totient is φ = 23379456.

The previous prime is 81828223. The next prime is 81828277. The reversal of 81828264 is 46282818.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 243369 + ... + 243704.

It is an arithmetic number, because the mean of its divisors is an integer number (7306110).

Almost surely, 2^81828264 is an apocalyptic number.

81828264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81828264 is an abundant number, since it is smaller than the sum of its proper divisors (151967256).

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

81828264 is a wasteful number, since it uses less digits than its factorization.

81828264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487089 (or 487085 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 81828264 is about 9045.8976337343. The cubic root of 81828264 is about 434.1446423392.

The spelling of 81828264 in words is "eighty-one million, eight hundred twenty-eight thousand, two hundred sixty-four".