814396896 has 96 divisors (see below), whose sum is σ = 2383224480. Its totient is φ = 270563328.

The previous prime is 814396873. The next prime is 814396901. The reversal of 814396896 is 698693418.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 289770 + ... + 292566.

It is an arithmetic number, because the mean of its divisors is an integer number (24825255).

Almost surely, 2^814396896 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 814396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191612240).

814396896 is an abundant number, since it is smaller than the sum of its proper divisors (1568827584).

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

814396896 is a wasteful number, since it uses less digits than its factorization.

814396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3139 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 814396896 is about 28537.6399865161. The cubic root of 814396896 is about 933.8533976885.

The spelling of 814396896 in words is "eight hundred fourteen million, three hundred ninety-six thousand, eight hundred ninety-six".