81456000 has 128 divisors (see below), whose sum is σ = 270185760. Its totient is φ = 21708800.

The previous prime is 81455989. The next prime is 81456007. The reversal of 81456000 is 65418.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81456007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47152 + ... + 48848.

Almost surely, 2^81456000 is an apocalyptic number.

81456000 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 81456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135092880).

81456000 is an abundant number, since it is smaller than the sum of its proper divisors (188729760).

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

81456000 is a wasteful number, since it uses less digits than its factorization.

81456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 81456000 is about 9025.2977790209. The cubic root of 81456000 is about 433.4852853036.

The spelling of 81456000 in words is "eighty-one million, four hundred fifty-six thousand".