900096120 has 384 divisors, whose sum is σ = 3841344000. Its totient is φ = 177085440.

The previous prime is 900096097. The next prime is 900096133. The reversal of 900096120 is 21690009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525826 + ... + 527534.

It is an arithmetic number, because the mean of its divisors is an integer number (10003500).

Almost surely, 2^900096120 is an apocalyptic number.

900096120 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 900096120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920672000).

900096120 is an abundant number, since it is smaller than the sum of its proper divisors (2941247880).

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

900096120 is a wasteful number, since it uses less digits than its factorization.

900096120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 900096120 is about 30001.6019572289. The cubic root of 900096120 is about 965.5237548042.

The spelling of 900096120 in words is "nine hundred million, ninety-six thousand, one hundred twenty".