840690240 has 448 divisors, whose sum is σ = 3096963072. Its totient is φ = 191692800.

The previous prime is 840690217. The next prime is 840690241. The reversal of 840690240 is 42096048.

It is not an unprimeable number, because it can be changed into a prime (840690241) 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 63 ways as a sum of consecutive naturals, for example, 15862054 + ... + 15862106.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2^840690240 is an apocalyptic number.

840690240 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 840690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548481536).

840690240 is an abundant number, since it is smaller than the sum of its proper divisors (2256272832).

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

840690240 is a wasteful number, since it uses less digits than its factorization.

840690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

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

The square root of 840690240 is about 28994.6588184790. The cubic root of 840690240 is about 943.7971650770.

The spelling of 840690240 in words is "eight hundred forty million, six hundred ninety thousand, two hundred forty".