81504160 has 48 divisors (see below), whose sum is σ = 195453216. Its totient is φ = 32110848.

The previous prime is 81504151. The next prime is 81504169. The reversal of 81504160 is 6140518.

It is an interprime number because it is at equal distance from previous prime (81504151) and next prime (81504169).

It is not an unprimeable number, because it can be changed into a prime (81504169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6919 + ... + 14521.

It is an arithmetic number, because the mean of its divisors is an integer number (4071942).

Almost surely, 2^81504160 is an apocalyptic number.

81504160 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 81504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97726608).

81504160 is an abundant number, since it is smaller than the sum of its proper divisors (113949056).

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

81504160 is a wasteful number, since it uses less digits than its factorization.

81504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7685 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 81504160 is about 9027.9654407845. The cubic root of 81504160 is about 433.5706996718.

Adding to 81504160 its reverse (6140518), we get a palindrome (87644678).

The spelling of 81504160 in words is "eighty-one million, five hundred four thousand, one hundred sixty".