900648000 has 336 divisors, whose sum is σ = 3684081024. Its totient is φ = 205747200.

The previous prime is 900647999. The next prime is 900648031. The reversal of 900648000 is 846009.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×900648000² = 1622333639808000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503107 + ... + 504893.

Almost surely, 2^900648000 is an apocalyptic number.

900648000 is a gapful number since it is divisible by the number (90) 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 900648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842040512).

900648000 is an abundant number, since it is smaller than the sum of its proper divisors (2783433024).

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

900648000 is a wasteful number, since it uses less digits than its factorization.

900648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 900648000 is about 30010.7980566995. The cubic root of 900648000 is about 965.7210464680.

The spelling of 900648000 in words is "nine hundred million, six hundred forty-eight thousand".