201643904 has 128 divisors (see below), whose sum is σ = 514080000. Its totient is φ = 76492800.

The previous prime is 201643901. The next prime is 201643907. The reversal of 201643904 is 409346102.

201643904 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 (201643901) and next prime (201643907).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×201643904² = 81320528040722432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201643901) 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, 403847 + ... + 404345.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^201643904 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 201643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

201643904 is an abundant number, since it is smaller than the sum of its proper divisors (312436096).

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

201643904 is a wasteful number, since it uses less digits than its factorization.

201643904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 201643904 is about 14200.1374641234. The cubic root of 201643904 is about 586.4014457733.

It can be divided in two parts, 2016 and 43904, that multiplied together give a square (88510464 = 9408²).

The spelling of 201643904 in words is "two hundred one million, six hundred forty-three thousand, nine hundred four".