901264 has 40 divisors (see below), whose sum is σ = 2152640. Its totient is φ = 355968.

The previous prime is 901253. The next prime is 901273. The reversal of 901264 is 462109.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147 + ... + 1765.

It is an arithmetic number, because the mean of its divisors is an integer number (53816).

2⁹⁰¹²⁶⁴ 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 901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076320).

901264 is an abundant number, since it is smaller than the sum of its proper divisors (1251376).

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

901264 is a wasteful number, since it uses less digits than its factorization.

901264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 901264 is about 949.3492508029. The cubic root of 901264 is about 96.5941165239.

The spelling of 901264 in words is "nine hundred one thousand, two hundred sixty-four".