840387240 has 576 divisors, whose sum is σ = 3572449920. Its totient is φ = 169344000.

The previous prime is 840387221. The next prime is 840387241. The reversal of 840387240 is 42783048.

840387240 is a `hidden beast` number, since 8 + 403 + 8 + 7 + 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 = 840387195 and 840387204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840387241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11836405 + ... + 11836475.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^840387240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840387240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786224960).

840387240 is an abundant number, since it is smaller than the sum of its proper divisors (2732062680).

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

840387240 is a wasteful number, since it uses less digits than its factorization.

840387240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 840387240 is about 28989.4332473058. The cubic root of 840387240 is about 943.6837642505.

The spelling of 840387240 in words is "eight hundred forty million, three hundred eighty-seven thousand, two hundred forty".