81267984 has 120 divisors (see below), whose sum is σ = 267076160. Its totient is φ = 22581504.

The previous prime is 81267941. The next prime is 81268001. The reversal of 81267984 is 48976218.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36207 + ... + 38385.

Almost surely, 2^81267984 is an apocalyptic number.

81267984 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81267984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133538080).

81267984 is an abundant number, since it is smaller than the sum of its proper divisors (185808176).

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

81267984 is a wasteful number, since it uses less digits than its factorization.

81267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2228 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 81267984 is about 9014.8757062979. The cubic root of 81267984 is about 433.1515060957.

It can be divided in two parts, 8126 and 7984, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 81267984 in words is "eighty-one million, two hundred sixty-seven thousand, nine hundred eighty-four".