8086087040 has 128 divisors (see below), whose sum is σ = 19802361600. Its totient is φ = 3156221952.

The previous prime is 8086087039. The next prime is 8086087067. The reversal of 8086087040 is 407806808.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7563626 + ... + 7564694.

It is an arithmetic number, because the mean of its divisors is an integer number (154705950).

Almost surely, 2^8086087040 is an apocalyptic number.

8086087040 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 8086087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9901180800).

8086087040 is an abundant number, since it is smaller than the sum of its proper divisors (11716274560).

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

8086087040 is a wasteful number, since it uses less digits than its factorization.

8086087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 8086087040 is about 89922.6725581485. The cubic root of 8086087040 is about 2007.1483401771.

The spelling of 8086087040 in words is "eight billion, eighty-six million, eighty-seven thousand, forty".