81826560 has 108 divisors (see below), whose sum is σ = 283151232. Its totient is φ = 21817344.

The previous prime is 81826543. The next prime is 81826567. The reversal of 81826560 is 6562818.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (81826567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7969 + ... + 15071.

Almost surely, 2^81826560 is an apocalyptic number.

81826560 is a gapful number since it is divisible by the number (80) 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 81826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141575616).

81826560 is an abundant number, since it is smaller than the sum of its proper divisors (201324672).

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

81826560 is a wasteful number, since it uses less digits than its factorization.

81826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 81826560 is about 9045.8034469029. The cubic root of 81826560 is about 434.1416287610.

The spelling of 81826560 in words is "eighty-one million, eight hundred twenty-six thousand, five hundred sixty".