201631248 has 320 divisors, whose sum is σ = 746618880. Its totient is φ = 50637312.

The previous prime is 201631247. The next prime is 201631253. The reversal of 201631248 is 842136102.

201631248 is a `hidden beast` number, since 2 + 0 + 1 + 631 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201631247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904065 + ... + 904287.

It is an arithmetic number, because the mean of its divisors is an integer number (2333184).

Almost surely, 2^201631248 is an apocalyptic number.

201631248 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 201631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373309440).

201631248 is an abundant number, since it is smaller than the sum of its proper divisors (544987632).

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

201631248 is a wasteful number, since it uses less digits than its factorization.

201631248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 201631248 is about 14199.6918276419. The cubic root of 201631248 is about 586.3891771952.

The spelling of 201631248 in words is "two hundred one million, six hundred thirty-one thousand, two hundred forty-eight".