81459600 has 60 divisors (see below), whose sum is σ = 260946096. Its totient is φ = 21722240.

The previous prime is 81459571. The next prime is 81459611. The reversal of 81459600 is 695418.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32742 + ... + 35141.

Almost surely, 2^81459600 is an apocalyptic number.

81459600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81459600 is an abundant number, since it is smaller than the sum of its proper divisors (179486496).

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

81459600 is a wasteful number, since it uses less digits than its factorization.

81459600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67904 (or 67893 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 81459600 is about 9025.4972162203. The cubic root of 81459600 is about 433.4916712626.

The spelling of 81459600 in words is "eighty-one million, four hundred fifty-nine thousand, six hundred".