840301344 has 96 divisors (see below), whose sum is σ = 2503146240. Its totient is φ = 274127616.

The previous prime is 840301331. The next prime is 840301373. The reversal of 840301344 is 443103048.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×840301344² = 1412212697456412672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30262 + ... + 50954.

It is an arithmetic number, because the mean of its divisors is an integer number (26074440).

Almost surely, 2^840301344 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 840301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251573120).

840301344 is an abundant number, since it is smaller than the sum of its proper divisors (1662844896).

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

840301344 is a wasteful number, since it uses less digits than its factorization.

840301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20759 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 840301344 is about 28987.9517041132. The cubic root of 840301344 is about 943.6516118416.

The spelling of 840301344 in words is "eight hundred forty million, three hundred one thousand, three hundred forty-four".