814081360 has 80 divisors (see below), whose sum is σ = 1941947136. Its totient is φ = 317233664.

The previous prime is 814081357. The next prime is 814081361. The reversal of 814081360 is 63180418.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814081361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191579 + ... + 1192261.

Almost surely, 2^814081360 is an apocalyptic number.

814081360 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 814081360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970973568).

814081360 is an abundant number, since it is smaller than the sum of its proper divisors (1127865776).

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

814081360 is a wasteful number, since it uses less digits than its factorization.

814081360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 814081360 is about 28532.1110330098. Note that the first 3 decimals coincide. The cubic root of 814081360 is about 933.7327757367.

The spelling of 814081360 in words is "eight hundred fourteen million, eighty-one thousand, three hundred sixty".