901968 has 80 divisors (see below), whose sum is σ = 2618880. Its totient is φ = 266112.

The previous prime is 901963. The next prime is 901973. The reversal of 901968 is 869109.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (901963) and next prime (901973).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901963) by changing a digit.

901968 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 15 ways as a sum of consecutive naturals, for example, 20955 + ... + 20997.

It is an arithmetic number, because the mean of its divisors is an integer number (32736).

2⁹⁰¹⁹⁶⁸ 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 901968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309440).

901968 is an abundant number, since it is smaller than the sum of its proper divisors (1716912).

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

901968 is a wasteful number, since it uses less digits than its factorization.

901968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 901968 is about 949.7199587247. The cubic root of 901968 is about 96.6192606768.

The spelling of 901968 in words is "nine hundred one thousand, nine hundred sixty-eight".