864390240 has 288 divisors, whose sum is σ = 3488546880. Its totient is φ = 190697472.

The previous prime is 864390239. The next prime is 864390253. The reversal of 864390240 is 42093468.

It is a happy number.

864390240 is a `hidden beast` number, since 8 + 643 + 9 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 864390195 and 864390204.

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, 290842 + ... + 293798.

It is an arithmetic number, because the mean of its divisors is an integer number (12113010).

Almost surely, 2^864390240 is an apocalyptic number.

864390240 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 864390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744273440).

864390240 is an abundant number, since it is smaller than the sum of its proper divisors (2624156640).

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

864390240 is a wasteful number, since it uses less digits than its factorization.

864390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 864390240 is about 29400.5142812162. The cubic root of 864390240 is about 952.5840048257.

The spelling of 864390240 in words is "eight hundred sixty-four million, three hundred ninety thousand, two hundred forty".