8018640 has 240 divisors, whose sum is σ = 32343168. Its totient is φ = 1741824.

The previous prime is 8018639. The next prime is 8018671. The reversal of 8018640 is 468108.

8018640 is a `hidden beast` number, since 8 + 0 + 18 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186459 + ... + 186501.

Almost surely, 2^8018640 is an apocalyptic number.

8018640 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 8018640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16171584).

8018640 is an abundant number, since it is smaller than the sum of its proper divisors (24324528).

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

8018640 is a wasteful number, since it uses less digits than its factorization.

8018640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8018640 is about 2831.7203251734. The cubic root of 8018640 is about 200.1552128470.

The spelling of 8018640 in words is "eight million, eighteen thousand, six hundred forty".