840515040 has 144 divisors (see below), whose sum is σ = 2909009376. Its totient is φ = 220953600.

The previous prime is 840514999. The next prime is 840515087. The reversal of 840515040 is 40515048.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 840514995 and 840515013.

It is a congruent number.

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, 98130 + ... + 106350.

It is an arithmetic number, because the mean of its divisors is an integer number (20201454).

Almost surely, 2^840515040 is an apocalyptic number.

840515040 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 840515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454504688).

840515040 is an abundant number, since it is smaller than the sum of its proper divisors (2068494336).

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

840515040 is a wasteful number, since it uses less digits than its factorization.

840515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8313 (or 8302 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 840515040 is about 28991.6374149512. The cubic root of 840515040 is about 943.7315980214.

The spelling of 840515040 in words is "eight hundred forty million, five hundred fifteen thousand, forty".