814242816 has 132 divisors (see below), whose sum is σ = 2396905992. Its totient is φ = 266133504.

The previous prime is 814242811. The next prime is 814242901. The reversal of 814242816 is 618242418.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814242811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487615 + ... + 489281.

Almost surely, 2^814242816 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 814242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198452996).

814242816 is an abundant number, since it is smaller than the sum of its proper divisors (1582663176).

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

814242816 is a wasteful number, since it uses less digits than its factorization.

814242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1725 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 814242816 is about 28534.9402662771. The cubic root of 814242816 is about 933.7945004410.

The spelling of 814242816 in words is "eight hundred fourteen million, two hundred forty-two thousand, eight hundred sixteen".