906010000 has 225 divisors, whose sum is σ = 2612391111. Its totient is φ = 303408000.

The previous prime is 906009983. The next prime is 906010051. The reversal of 906010000 is 10609.

The square root of 906010000 is 30100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 71031184 + 834978816 = 8428^2 + 28896^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is an unprimeable 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 44 ways as a sum of consecutive naturals, for example, 21069979 + ... + 21070021.

Almost surely, 2^906010000 is an apocalyptic number.

906010000 is the 30100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906010000

906010000 is an abundant number, since it is smaller than the sum of its proper divisors (1706381111).

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

906010000 is an equidigital number, since it uses as much as digits as its factorization.

906010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 906010000 is about 967.6337263717.

Multiplying 906010000 by its sum of digits (16), we get a square (14496160000 = 120400²).

906010000 divided by its sum of digits (16) gives a square (56625625 = 7525²).

Adding to 906010000 its reverse (10609), we get a palindrome (906020609).

Multiplying 906010000 by its reverse (10609), we get a square (9611860090000 = 3100300²).

The spelling of 906010000 in words is "nine hundred six million, ten thousand".