8087040 has 240 divisors, whose sum is σ = 31279248. Its totient is φ = 1990656.

The previous prime is 8087017. The next prime is 8087059. The reversal of 8087040 is 407808.

It is a happy number.

8087040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8086995 and 8087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622074 + ... + 622086.

Almost surely, 2^8087040 is an apocalyptic number.

8087040 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 8087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15639624).

8087040 is an abundant number, since it is smaller than the sum of its proper divisors (23192208).

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

8087040 is an equidigital number, since it uses as much as digits as its factorization.

8087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8087040 is about 2843.7721427709. The cubic root of 8087040 is about 200.7227185769.

The spelling of 8087040 in words is "eight million, eighty-seven thousand, forty".