81466560 has 280 divisors, whose sum is σ = 331927200. Its totient is φ = 18579456.

The previous prime is 81466523. The next prime is 81466577. The reversal of 81466560 is 6566418.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 181216 + ... + 181664.

Almost surely, 2^81466560 is an apocalyptic number.

81466560 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 81466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165963600).

81466560 is an abundant number, since it is smaller than the sum of its proper divisors (250460640).

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

81466560 is a wasteful number, since it uses less digits than its factorization.

81466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 81466560 is about 9025.8827823100. The cubic root of 81466560 is about 433.5040169166.

It can be divided in two parts, 8146 and 6560, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 81466560 in words is "eighty-one million, four hundred sixty-six thousand, five hundred sixty".