81248000 has 72 divisors (see below), whose sum is σ = 202478640. Its totient is φ = 32486400.

The previous prime is 81247973. The next prime is 81248039. The reversal of 81248000 is 84218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30731 + ... + 33269.

Almost surely, 2^81248000 is an apocalyptic number.

81248000 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 81248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101239320).

81248000 is an abundant number, since it is smaller than the sum of its proper divisors (121230640).

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

81248000 is an equidigital number, since it uses as much as digits as its factorization.

81248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 81248000 is about 9013.7672479380. The cubic root of 81248000 is about 433.1159988398.

The spelling of 81248000 in words is "eighty-one million, two hundred forty-eight thousand".