201848640 has 224 divisors, whose sum is σ = 748588800. Its totient is φ = 46061568.

The previous prime is 201848639. The next prime is 201848651. The reversal of 201848640 is 46848102.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328974 + ... + 329586.

Almost surely, 2^201848640 is an apocalyptic number.

201848640 is a gapful number since it is divisible by the number (20) 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 201848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374294400).

201848640 is an abundant number, since it is smaller than the sum of its proper divisors (546740160).

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

201848640 is an equidigital number, since it uses as much as digits as its factorization.

201848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 201848640 is about 14207.3445794772. The cubic root of 201848640 is about 586.5998431694.

The spelling of 201848640 in words is "two hundred one million, eight hundred forty-eight thousand, six hundred forty".