81960960 has 224 divisors, whose sum is σ = 283098240. Its totient is φ = 20185088.

The previous prime is 81960947. The next prime is 81960973. The reversal of 81960960 is 6906918.

It is an interprime number because it is at equal distance from previous prime (81960947) and next prime (81960973).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826226 + ... + 2826254.

Almost surely, 2^81960960 is an apocalyptic number.

81960960 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 81960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141549120).

81960960 is an abundant number, since it is smaller than the sum of its proper divisors (201137280).

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

81960960 is a wasteful number, since it uses less digits than its factorization.

81960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 81960960 is about 9053.2292581156. The cubic root of 81960960 is about 434.3791910642.

The spelling of 81960960 in words is "eighty-one million, nine hundred sixty thousand, nine hundred sixty".