840651840 has 672 divisors, whose sum is σ = 3613708800. Its totient is φ = 178827264.

The previous prime is 840651839. The next prime is 840651859. The reversal of 840651840 is 48156048.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 840651795 and 840651804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22720302 + ... + 22720338.

Almost surely, 2^840651840 is an apocalyptic number.

840651840 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 840651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806854400).

840651840 is an abundant number, since it is smaller than the sum of its proper divisors (2773056960).

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

840651840 is a wasteful number, since it uses less digits than its factorization.

840651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 840651840 is about 28993.9966199901. The cubic root of 840651840 is about 943.7827949950.

It can be divided in two parts, 84065 and 1840, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 840651840 in words is "eight hundred forty million, six hundred fifty-one thousand, eight hundred forty".