87081966 has 64 divisors (see below), whose sum is σ = 200893440. Its totient is φ = 28291032.

The previous prime is 87081941. The next prime is 87081989. The reversal of 87081966 is 66918078.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187851 + ... + 188313.

It is an arithmetic number, because the mean of its divisors is an integer number (3138960).

Almost surely, 2^87081966 is an apocalyptic number.

87081966 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 87081966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100446720).

87081966 is an abundant number, since it is smaller than the sum of its proper divisors (113811474).

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

87081966 is an equidigital number, since it uses as much as digits as its factorization.

87081966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 87081966 is about 9331.7718574770. The cubic root of 87081966 is about 443.2438737590.

The spelling of 87081966 in words is "eighty-seven million, eighty-one thousand, nine hundred sixty-six".