201968640 has 220 divisors, whose sum is σ = 725227536. Its totient is φ = 53747712.

The previous prime is 201968633. The next prime is 201968671. The reversal of 201968640 is 46869102.

201968640 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 6 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201968595 and 201968604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414477 + ... + 414963.

Almost surely, 2^201968640 is an apocalyptic number.

201968640 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 201968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362613768).

201968640 is an abundant number, since it is smaller than the sum of its proper divisors (523258896).

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

201968640 is an equidigital number, since it uses as much as digits as its factorization.

201968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 497 counting only the distinct ones).

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

The square root of 201968640 is about 14211.5671197796. The cubic root of 201968640 is about 586.7160656292.

The spelling of 201968640 in words is "two hundred one million, nine hundred sixty-eight thousand, six hundred forty".