840812544 has 432 divisors, whose sum is σ = 2973707100. Its totient is φ = 227082240.

The previous prime is 840812509. The next prime is 840812549. The reversal of 840812544 is 445218048.

It can be written as a sum of positive squares in 2 ways, for example, as 812934144 + 27878400 = 28512^2 + 5280^2 .

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 = 840812499 and 840812508.

It is not an unprimeable number, because it can be changed into a prime (840812549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28993522 + ... + 28993550.

Almost surely, 2^840812544 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 840812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486853550).

840812544 is an abundant number, since it is smaller than the sum of its proper divisors (2132894556).

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

840812544 is a wasteful number, since it uses less digits than its factorization.

840812544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 840812544 is about 28996.7678198795. The cubic root of 840812544 is about 943.8429308719.

The spelling of 840812544 in words is "eight hundred forty million, eight hundred twelve thousand, five hundred forty-four".