840320 has 64 divisors (see below), whose sum is σ = 2184840. Its totient is φ = 307200.

The previous prime is 840319. The next prime is 840331. The reversal of 840320 is 23048.

It can be written as a sum of positive squares in 4 ways, for example, as 732736 + 107584 = 856^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×840320² = 1412275404800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8270 + ... + 8370.

2⁸⁴⁰³²⁰ is an apocalyptic number.

840320 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 840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092420).

840320 is an abundant number, since it is smaller than the sum of its proper divisors (1344520).

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

840320 is a wasteful number, since it uses less digits than its factorization.

840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 840320 is about 916.6896966804. The cubic root of 840320 is about 94.3658595302.

Adding to 840320 its reverse (23048), we get a palindrome (863368).

The spelling of 840320 in words is "eight hundred forty thousand, three hundred twenty".