901288064 has 32 divisors (see below), whose sum is σ = 1803502800. Its totient is φ = 448644352.

The previous prime is 901288061. The next prime is 901288081. The reversal of 901288064 is 460882109.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (901288061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13547 + ... + 44565.

Almost surely, 2^901288064 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 901288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901751400).

901288064 is an abundant number, since it is smaller than the sum of its proper divisors (902214736).

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

901288064 is a wasteful number, since it uses less digits than its factorization.

901288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31260 (or 31248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 901288064 is about 30021.4600577653. The cubic root of 901288064 is about 965.9497621284.

The spelling of 901288064 in words is "nine hundred one million, two hundred eighty-eight thousand, sixty-four".