81416160 has 288 divisors, whose sum is σ = 326918592. Its totient is φ = 18063360.

The previous prime is 81416143. The next prime is 81416177. The reversal of 81416160 is 6161418.

81416160 is a `hidden beast` number, since 8 + 1 + 41 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (81416143) and next prime (81416177).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×81416160² = 13257182218291200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413182 + ... + 413378.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^81416160 is an apocalyptic number.

81416160 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 81416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163459296).

81416160 is an abundant number, since it is smaller than the sum of its proper divisors (245502432).

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

81416160 is a wasteful number, since it uses less digits than its factorization.

81416160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 81416160 is about 9023.0903796870. The cubic root of 81416160 is about 433.4146014574.

Adding to 81416160 its reverse (6161418), we get a palindrome (87577578).

The spelling of 81416160 in words is "eighty-one million, four hundred sixteen thousand, one hundred sixty".