81448000 has 56 divisors (see below), whose sum is σ = 201725784. Its totient is φ = 32576000.

The previous prime is 81447997. The next prime is 81448001. The reversal of 81448000 is 84418.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 79281216 = 1472^2 + 8904^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (81448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2910 + ... + 13090.

Almost surely, 2^81448000 is an apocalyptic number.

81448000 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 81448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100862892).

81448000 is an abundant number, since it is smaller than the sum of its proper divisors (120277784).

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

81448000 is a wasteful number, since it uses less digits than its factorization.

81448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 81448000 is about 9024.8545694654. The cubic root of 81448000 is about 433.4710936098.

The spelling of 81448000 in words is "eighty-one million, four hundred forty-eight thousand".