864090240 has 192 divisors, whose sum is σ = 2983573440. Its totient is φ = 212619264.

The previous prime is 864090233. The next prime is 864090247. The reversal of 864090240 is 42090468.

It is an interprime number because it is at equal distance from previous prime (864090233) and next prime (864090247).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (864090247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323149 + ... + 325811.

It is an arithmetic number, because the mean of its divisors is an integer number (15539445).

Almost surely, 2^864090240 is an apocalyptic number.

864090240 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 864090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491786720).

864090240 is an abundant number, since it is smaller than the sum of its proper divisors (2119483200).

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

864090240 is a wasteful number, since it uses less digits than its factorization.

864090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 864090240 is about 29395.4118868915. The cubic root of 864090240 is about 952.4737890708.

The spelling of 864090240 in words is "eight hundred sixty-four million, ninety thousand, two hundred forty".