81627264 has 80 divisors (see below), whose sum is σ = 242952270. Its totient is φ = 27205632.

The previous prime is 81627241. The next prime is 81627289. The reversal of 81627264 is 46272618.

81627264 is a `hidden beast` number, since 8 + 1 + 627 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81000000 + 627264 = 9000^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6432 + ... + 14304.

Almost surely, 2^81627264 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 81627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121476135).

81627264 is an abundant number, since it is smaller than the sum of its proper divisors (161325006).

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

81627264 is an equidigital number, since it uses as much as digits as its factorization.

81627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7878 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 81627264 is about 9034.7807942418. The cubic root of 81627264 is about 433.7888784647.

It can be divided in two parts, 81 and 627264, that multiplied together give a square (50808384 = 7128²).

The spelling of 81627264 in words is "eighty-one million, six hundred twenty-seven thousand, two hundred sixty-four".