814088 has 36 divisors (see below), whose sum is σ = 1737645. Its totient is φ = 357280.

The previous prime is 814081. The next prime is 814097. The reversal of 814088 is 880418.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 813604 + 484 = 902^2 + 22^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=638.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 814088.

It is not an unprimeable number, because it can be changed into a prime (814081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28058 + ... + 28086.

2⁸¹⁴⁰⁸⁸ is an apocalyptic number.

814088 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 814088

814088 is an abundant number, since it is smaller than the sum of its proper divisors (923557).

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

814088 is a wasteful number, since it uses less digits than its factorization.

814088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 814088 is about 902.2682527940. The cubic root of 814088 is about 93.3735314373.

Multiplying 814088 by its product of nonzero digits (2048), we get a square (1667252224 = 40832²).

It can be divided in two parts, 8140 and 88, that added together give a palindrome (8228).

The spelling of 814088 in words is "eight hundred fourteen thousand, eighty-eight".