814084128 has 288 divisors, whose sum is σ = 2815344000. Its totient is φ = 227335680.

The previous prime is 814084109. The next prime is 814084147. The reversal of 814084128 is 821480418.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (814084109) and next prime (814084147).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 814084092 and 814084101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358773 + ... + 1359371.

It is an arithmetic number, because the mean of its divisors is an integer number (9775500).

Almost surely, 2^814084128 is an apocalyptic number.

814084128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814084128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672000).

814084128 is an abundant number, since it is smaller than the sum of its proper divisors (2001259872).

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

814084128 is a wasteful number, since it uses less digits than its factorization.

814084128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 814084128 is about 28532.1595397194. The cubic root of 814084128 is about 933.7338340131.

The spelling of 814084128 in words is "eight hundred fourteen million, eighty-four thousand, one hundred twenty-eight".