81504192 has 224 divisors, whose sum is σ = 277977600. Its totient is φ = 20459520.

The previous prime is 81504191. The next prime is 81504217. The reversal of 81504192 is 29140518.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81504191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546934 + ... + 547082.

Almost surely, 2^81504192 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 81504192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138988800).

81504192 is an abundant number, since it is smaller than the sum of its proper divisors (196473408).

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

81504192 is a wasteful number, since it uses less digits than its factorization.

81504192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 81504192 is about 9027.9672130552. The cubic root of 81504192 is about 433.5707564143.

The spelling of 81504192 in words is "eighty-one million, five hundred four thousand, one hundred ninety-two".