864354240 has 140 divisors (see below), whose sum is σ = 3074752296. Its totient is φ = 230487552.

The previous prime is 864354233. The next prime is 864354241. The reversal of 864354240 is 42453468.

864354240 is a `hidden beast` number, since 8 + 64 + 354 + 240 = 666.

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 = 864354195 and 864354204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864354241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9247 + ... + 42593.

Almost surely, 2^864354240 is an apocalyptic number.

864354240 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 864354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537376148).

864354240 is an abundant number, since it is smaller than the sum of its proper divisors (2210398056).

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

864354240 is a wasteful number, since it uses less digits than its factorization.

864354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33376 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 864354240 is about 29399.9020406531. The cubic root of 864354240 is about 952.5707802818.

The spelling of 864354240 in words is "eight hundred sixty-four million, three hundred fifty-four thousand, two hundred forty".