814189896 has 96 divisors (see below), whose sum is σ = 2410349760. Its totient is φ = 246761856.

The previous prime is 814189853. The next prime is 814189897. The reversal of 814189896 is 698981418.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (814189897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56221 + ... + 69203.

It is an arithmetic number, because the mean of its divisors is an integer number (25107810).

Almost surely, 2^814189896 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 814189896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205174880).

814189896 is an abundant number, since it is smaller than the sum of its proper divisors (1596159864).

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

814189896 is a wasteful number, since it uses less digits than its factorization.

814189896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13068 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 814189896 is about 28534.0129669838. The cubic root of 814189896 is about 933.7742699992.

The spelling of 814189896 in words is "eight hundred fourteen million, one hundred eighty-nine thousand, eight hundred ninety-six".