814918060 has 84 divisors (see below), whose sum is σ = 1964306736. Its totient is φ = 283449760.

The previous prime is 814918033. The next prime is 814918073. The reversal of 814918060 is 60819418.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 35431209 + ... + 35431231.

It is an arithmetic number, because the mean of its divisors is an integer number (23384604).

Almost surely, 2^814918060 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 814918060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982153368).

814918060 is an abundant number, since it is smaller than the sum of its proper divisors (1149388676).

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

814918060 is an frugal number, since it uses more digits than its factorization.

814918060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 814918060 is about 28546.7696946607. The cubic root of 814918060 is about 934.0525581528.

The spelling of 814918060 in words is "eight hundred fourteen million, nine hundred eighteen thousand, sixty".