8201088 has 160 divisors (see below), whose sum is σ = 28139760. Its totient is φ = 2322432.

The previous prime is 8201071. The next prime is 8201101. The reversal of 8201088 is 8801028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72520 + ... + 72632.

Almost surely, 2^8201088 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 8201088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069880).

8201088 is an abundant number, since it is smaller than the sum of its proper divisors (19938672).

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

8201088 is a wasteful number, since it uses less digits than its factorization.

8201088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8201088 is about 2863.7541793946. The cubic root of 8201088 is about 201.6618857627.

The spelling of 8201088 in words is "eight million, two hundred one thousand, eighty-eight".