814509696 has 384 divisors, whose sum is σ = 2938775040. Its totient is φ = 194088960.

The previous prime is 814509677. The next prime is 814509713. The reversal of 814509696 is 696905418.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996911 + ... + 4997073.

It is an arithmetic number, because the mean of its divisors is an integer number (7653060).

Almost surely, 2^814509696 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 814509696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469387520).

814509696 is an abundant number, since it is smaller than the sum of its proper divisors (2124265344).

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

814509696 is a wasteful number, since it uses less digits than its factorization.

814509696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 814509696 is about 28539.6162553038. The cubic root of 814509696 is about 933.8965109014.

The spelling of 814509696 in words is "eight hundred fourteen million, five hundred nine thousand, six hundred ninety-six".