901985112 has 256 divisors, whose sum is σ = 3073075200. Its totient is φ = 239500800.

The previous prime is 901985053. The next prime is 901985129. The reversal of 901985112 is 211589109.

901985112 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 63 ways as a sum of consecutive naturals, for example, 1286362 + ... + 1287062.

It is an arithmetic number, because the mean of its divisors is an integer number (12004200).

Almost surely, 2^901985112 is an apocalyptic number.

901985112 is a gapful number since it is divisible by the number (92) 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 901985112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536537600).

901985112 is an abundant number, since it is smaller than the sum of its proper divisors (2171090088).

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

901985112 is a wasteful number, since it uses less digits than its factorization.

901985112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 901985112 is about 30033.0669762514. The cubic root of 901985112 is about 966.1987168829.

The spelling of 901985112 in words is "nine hundred one million, nine hundred eighty-five thousand, one hundred twelve".