900608000 has 104 divisors (see below), whose sum is σ = 2248920960. Its totient is φ = 360038400.

The previous prime is 900607969. The next prime is 900608003. The reversal of 900608000 is 806009.

It is a super-2 number, since 2×900608000² = 1622189539328000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900608003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 511121 + ... + 512879.

It is an arithmetic number, because the mean of its divisors is an integer number (21624240).

Almost surely, 2^900608000 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 900608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124460480).

900608000 is an abundant number, since it is smaller than the sum of its proper divisors (1348312960).

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

900608000 is an equidigital number, since it uses as much as digits as its factorization.

900608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1766 counting only the distinct ones).

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

The square root of 900608000 is about 30010.1316225038. The cubic root of 900608000 is about 965.7067495715.

The spelling of 900608000 in words is "nine hundred million, six hundred eight thousand".