8906000 has 80 divisors (see below), whose sum is σ = 22187568. Its totient is φ = 3456000.

The previous prime is 8905997. The next prime is 8906017. The reversal of 8906000 is 6098.

It can be written as a sum of positive squares in 8 ways, for example, as 5234944 + 3671056 = 2288^2 + 1916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121964 + ... + 122036.

Almost surely, 2^8906000 is an apocalyptic number.

8906000 is a gapful number since it is divisible by the number (80) 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 8906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093784).

8906000 is an abundant number, since it is smaller than the sum of its proper divisors (13281568).

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

8906000 is a wasteful number, since it uses less digits than its factorization.

8906000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 8906000 is about 2984.2922108936. The cubic root of 8906000 is about 207.2816690323.

The spelling of 8906000 in words is "eight million, nine hundred six thousand".