81496800 has 576 divisors, whose sum is σ = 374976000. Its totient is φ = 16934400.

The previous prime is 81496783. The next prime is 81496813. The reversal of 81496800 is 869418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7408795 + ... + 7408805.

It is an arithmetic number, because the mean of its divisors is an integer number (651000).

Almost surely, 2^81496800 is an apocalyptic number.

81496800 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 81496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

81496800 is an abundant number, since it is smaller than the sum of its proper divisors (293479200).

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

81496800 is a wasteful number, since it uses less digits than its factorization.

81496800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 81496800 is about 9027.5578092860. The cubic root of 81496800 is about 433.5576484917.

The spelling of 81496800 in words is "eighty-one million, four hundred ninety-six thousand, eight hundred".