900720128 has 240 divisors, whose sum is σ = 2368515072. Its totient is φ = 334540800.

The previous prime is 900720127. The next prime is 900720133. The reversal of 900720128 is 821027009.

It is a happy number.

900720128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900720128² = 1622593497968672768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 900720128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900720127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13443551 + ... + 13443617.

Almost surely, 2^900720128 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 900720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184257536).

900720128 is an abundant number, since it is smaller than the sum of its proper divisors (1467794944).

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

900720128 is a wasteful number, since it uses less digits than its factorization.

900720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 900720128 is about 30011.9997334400. Note that the first 3 decimals coincide. The cubic root of 900720128 is about 965.7468255620.

The spelling of 900720128 in words is "nine hundred million, seven hundred twenty thousand, one hundred twenty-eight".