81282600 has 144 divisors (see below), whose sum is σ = 312018720. Its totient is φ = 18576000.

The previous prime is 81282587. The next prime is 81282601. The reversal of 81282600 is 628218.

It is a super-2 number, since 2×81282600² = 13213722125520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81282601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9375 + ... + 15825.

Almost surely, 2^81282600 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 81282600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156009360).

81282600 is an abundant number, since it is smaller than the sum of its proper divisors (230736120).

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

81282600 is a wasteful number, since it uses less digits than its factorization.

81282600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6468 counting only the distinct ones).

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

The square root of 81282600 is about 9015.6863299474. The cubic root of 81282600 is about 433.1774718886.

The spelling of 81282600 in words is "eighty-one million, two hundred eighty-two thousand, six hundred".