900291672 has 128 divisors (see below), whose sum is σ = 2893747200. Its totient is φ = 257191200.

The previous prime is 900291641. The next prime is 900291701. The reversal of 900291672 is 276192009.

900291672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118797 + ... + 126147.

It is an arithmetic number, because the mean of its divisors is an integer number (22607400).

Almost surely, 2^900291672 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 900291672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446873600).

900291672 is an abundant number, since it is smaller than the sum of its proper divisors (1993455528).

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

900291672 is an equidigital number, since it uses as much as digits as its factorization.

900291672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 900291672 is about 30004.8608062094. The cubic root of 900291672 is about 965.5936719405.

The spelling of 900291672 in words is "nine hundred million, two hundred ninety-one thousand, six hundred seventy-two".