201264648 has 64 divisors (see below), whose sum is σ = 559372800. Its totient is φ = 59927040.

The previous prime is 201264641. The next prime is 201264659. The reversal of 201264648 is 846462102.

It is not an unprimeable number, because it can be changed into a prime (201264641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (8740200).

Almost surely, 2^201264648 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 201264648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279686400).

201264648 is an abundant number, since it is smaller than the sum of its proper divisors (358108152).

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

201264648 is a wasteful number, since it uses less digits than its factorization.

201264648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20862 (or 20858 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 201264648 is about 14186.7772238800. Note that the first 3 decimals coincide. The cubic root of 201264648 is about 586.0335764133.

The spelling of 201264648 in words is "two hundred one million, two hundred sixty-four thousand, six hundred forty-eight".