901648 has 40 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 397440.

The previous prime is 901643. The next prime is 901657. The reversal of 901648 is 846109.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (901643) by changing a digit.

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, 8218 + ... + 8326.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2⁹⁰¹⁶⁴⁸ 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 901648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080).

901648 is an abundant number, since it is smaller than the sum of its proper divisors (1062512).

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

901648 is a wasteful number, since it uses less digits than its factorization.

901648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 901648 is about 949.5514730650. The cubic root of 901648 is about 96.6078331389.

The spelling of 901648 in words is "nine hundred one thousand, six hundred forty-eight".