201966048 has 144 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 63732096.

The previous prime is 201966047. The next prime is 201966049. The reversal of 201966048 is 840669102.

It is an interprime number because it is at equal distance from previous prime (201966047) and next prime (201966049).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201966047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147061 + ... + 148427.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^201966048 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 201966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

201966048 is an abundant number, since it is smaller than the sum of its proper divisors (425453472).

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

201966048 is a wasteful number, since it uses less digits than its factorization.

201966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201966048 is about 14211.4759261661. The cubic root of 201966048 is about 586.7135557105.

It can be divided in two parts, 20196 and 6048, that added together give a square (26244 = 162²).

The spelling of 201966048 in words is "two hundred one million, nine hundred sixty-six thousand, forty-eight".