814074516 has 96 divisors (see below), whose sum is σ = 2177669760. Its totient is φ = 262828800.

The previous prime is 814074491. The next prime is 814074517. The reversal of 814074516 is 615470418.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814074517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694611 + ... + 695781.

It is an arithmetic number, because the mean of its divisors is an integer number (22684060).

Almost surely, 2^814074516 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 814074516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088834880).

814074516 is an abundant number, since it is smaller than the sum of its proper divisors (1363595244).

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

814074516 is a wasteful number, since it uses less digits than its factorization.

814074516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 814074516 is about 28531.9910977135. The cubic root of 814074516 is about 933.7301590920.

The spelling of 814074516 in words is "eight hundred fourteen million, seventy-four thousand, five hundred sixteen".