818960 has 40 divisors (see below), whose sum is σ = 1975320. Its totient is φ = 315392.

The previous prime is 818959. The next prime is 818963. The reversal of 818960 is 69818.

818960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 65536 + 753424 = 256^2 + 868^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (818963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144 + ... + 2496.

It is an arithmetic number, because the mean of its divisors is an integer number (49383).

2⁸¹⁸⁹⁶⁰ is an apocalyptic number.

818960 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 818960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987660).

818960 is an abundant number, since it is smaller than the sum of its proper divisors (1156360).

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

818960 is a wasteful number, since it uses less digits than its factorization.

818960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 818960 is about 904.9640876853. The cubic root of 818960 is about 93.5594291749.

The spelling of 818960 in words is "eight hundred eighteen thousand, nine hundred sixty".