201637968 has 80 divisors (see below), whose sum is σ = 597104640. Its totient is φ = 57437568.

The previous prime is 201637963. The next prime is 201637973. The reversal of 201637968 is 869736102.

It is a happy number.

201637968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201637963) and next prime (201637973).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201637963) 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 15 ways as a sum of consecutive naturals, for example, 146821 + ... + 148187.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^201637968 is an apocalyptic number.

201637968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201637968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298552320).

201637968 is an abundant number, since it is smaller than the sum of its proper divisors (395466672).

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

201637968 is a wasteful number, since it uses less digits than its factorization.

201637968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 201637968 is about 14199.9284505240. The cubic root of 201637968 is about 586.3956915484.

The spelling of 201637968 in words is "two hundred one million, six hundred thirty-seven thousand, nine hundred sixty-eight".