901296 has 60 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 272640.

The previous prime is 901279. The next prime is 901309. The reversal of 901296 is 692109.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

901296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2⁹⁰¹²⁹⁶ 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 901296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

901296 is an abundant number, since it is smaller than the sum of its proper divisors (1855224).

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

901296 is a wasteful number, since it uses less digits than its factorization.

901296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 901296 is about 949.3661043033. The cubic root of 901296 is about 96.5952597239.

The spelling of 901296 in words is "nine hundred one thousand, two hundred ninety-six".