81464900 has 72 divisors (see below), whose sum is σ = 199153920. Its totient is φ = 28656000.

The previous prime is 81464893. The next prime is 81464923. The reversal of 81464900 is 946418.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32906 + ... + 35294.

Almost surely, 2^81464900 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 81464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99576960).

81464900 is an abundant number, since it is smaller than the sum of its proper divisors (117689020).

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

81464900 is a wasteful number, since it uses less digits than its factorization.

81464900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 81464900 is about 9025.7908240774. The cubic root of 81464900 is about 433.5010724710.

The spelling of 81464900 in words is "eighty-one million, four hundred sixty-four thousand, nine hundred".