816088 has 64 divisors (see below), whose sum is σ = 2016000. Its totient is φ = 300672.

The previous prime is 816077. The next prime is 816091. The reversal of 816088 is 880618.

It is a congruent number.

It is an unprimeable number.

816088 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 13803 + ... + 13861.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁸¹⁶⁰⁸⁸ 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 816088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008000).

816088 is an abundant number, since it is smaller than the sum of its proper divisors (1199912).

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

816088 is a wasteful number, since it uses less digits than its factorization.

816088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 816088 is about 903.3758907564. The cubic root of 816088 is about 93.4499336369.

It can be divided in two parts, 81608 and 8, that multiplied together give a square (652864 = 808²).

The spelling of 816088 in words is "eight hundred sixteen thousand, eighty-eight".