901201248 has 96 divisors (see below), whose sum is σ = 2713374720. Its totient is φ = 290701440.

The previous prime is 901201247. The next prime is 901201253. The reversal of 901201248 is 842102109.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901201247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9961 + ... + 43607.

It is an arithmetic number, because the mean of its divisors is an integer number (28264320).

Almost surely, 2^901201248 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 901201248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356687360).

901201248 is an abundant number, since it is smaller than the sum of its proper divisors (1812173472).

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

901201248 is a wasteful number, since it uses less digits than its factorization.

901201248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33697 (or 33683 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 901201248 is about 30020.0141239141. The cubic root of 901201248 is about 965.9187463002.

The spelling of 901201248 in words is "nine hundred one million, two hundred one thousand, two hundred forty-eight".