81114264 has 128 divisors (see below), whose sum is σ = 280972800. Its totient is φ = 21064320.

The previous prime is 81114227. The next prime is 81114289. The reversal of 81114264 is 46241118.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14194 + ... + 19070.

It is an arithmetic number, because the mean of its divisors is an integer number (2195100).

Almost surely, 2^81114264 is an apocalyptic number.

81114264 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 81114264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140486400).

81114264 is an abundant number, since it is smaller than the sum of its proper divisors (199858536).

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

81114264 is a wasteful number, since it uses less digits than its factorization.

81114264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4910 (or 4900 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 81114264 is about 9006.3457628497. The cubic root of 81114264 is about 432.8782288382.

The spelling of 81114264 in words is "eighty-one million, one hundred fourteen thousand, two hundred sixty-four".