8287040 has 112 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 2967552.

The previous prime is 8286997. The next prime is 8287067. The reversal of 8287040 is 407828.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 8286994 and 8287012.

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, 176297 + ... + 176343.

Almost surely, 2^8287040 is an apocalyptic number.

8287040 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 8287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

8287040 is an abundant number, since it is smaller than the sum of its proper divisors (13658560).

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

8287040 is a wasteful number, since it uses less digits than its factorization.

8287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8287040 is about 2878.7219386387. The cubic root of 8287040 is about 202.3639486478.

The spelling of 8287040 in words is "eight million, two hundred eighty-seven thousand, forty".