900991872 has 192 divisors, whose sum is σ = 2861454960. Its totient is φ = 269844480.

The previous prime is 900991831. The next prime is 900991873. The reversal of 900991872 is 278199009.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900991873) 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, 1228818 + ... + 1229550.

Almost surely, 2^900991872 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 900991872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430727480).

900991872 is an abundant number, since it is smaller than the sum of its proper divisors (1960463088).

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

900991872 is a wasteful number, since it uses less digits than its factorization.

900991872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 900991872 is about 30016.5266478319. The cubic root of 900991872 is about 965.8439365696.

The spelling of 900991872 in words is "nine hundred million, nine hundred ninety-one thousand, eight hundred seventy-two".