864696240 has 120 divisors (see below), whose sum is σ = 2913148368. Its totient is φ = 229854720.

The previous prime is 864696233. The next prime is 864696281. The reversal of 864696240 is 42696468.

864696240 is digitally balanced in base 2, 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 248110 + ... + 251570.

Almost surely, 2^864696240 is an apocalyptic number.

864696240 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 864696240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456574184).

864696240 is an abundant number, since it is smaller than the sum of its proper divisors (2048452128).

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

864696240 is a wasteful number, since it uses less digits than its factorization.

864696240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 864696240 is about 29405.7178113373. The cubic root of 864696240 is about 952.6963986274.

The spelling of 864696240 in words is "eight hundred sixty-four million, six hundred ninety-six thousand, two hundred forty".