906000 has 80 divisors (see below), whose sum is σ = 2940288. Its totient is φ = 240000.

The previous prime is 905999. The next prime is 906007. The reversal of 906000 is 609.

906000 = T₂₅ + T₂₆ + ... + T₁₇₅.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (906007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5925 + ... + 6075.

2⁹⁰⁶⁰⁰⁰ 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 906000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470144).

906000 is an abundant number, since it is smaller than the sum of its proper divisors (2034288).

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

906000 is a wasteful number, since it uses less digits than its factorization.

906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 906000 is about 951.8403227433. The cubic root of 906000 is about 96.7630166303.

Adding to 906000 its reverse (609), we get a palindrome (906609).

The spelling of 906000 in words is "nine hundred six thousand".