901266048 has 128 divisors (see below), whose sum is σ = 2698185600. Its totient is φ = 296110080.

The previous prime is 901266019. The next prime is 901266053. The reversal of 901266048 is 840662109.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243540 + ... + 247212.

It is an arithmetic number, because the mean of its divisors is an integer number (21079575).

Almost surely, 2^901266048 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 901266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349092800).

901266048 is an abundant number, since it is smaller than the sum of its proper divisors (1796919552).

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

901266048 is a wasteful number, since it uses less digits than its factorization.

901266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 901266048 is about 30021.0933844855. The cubic root of 901266048 is about 965.9418968949.

The spelling of 901266048 in words is "nine hundred one million, two hundred sixty-six thousand, forty-eight".