201963680 has 48 divisors (see below), whose sum is σ = 484984584. Its totient is φ = 79457280.

The previous prime is 201963637. The next prime is 201963703. The reversal of 201963680 is 86369102.

It can be written as a sum of positive squares in 4 ways, for example, as 149719696 + 52243984 = 12236^2 + 7228^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 201963680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 587 + ... + 20106.

Almost surely, 2^201963680 is an apocalyptic number.

201963680 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 201963680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242492292).

201963680 is an abundant number, since it is smaller than the sum of its proper divisors (283020904).

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

201963680 is a wasteful number, since it uses less digits than its factorization.

201963680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20769 (or 20761 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 201963680 is about 14211.3926129708. The cubic root of 201963680 is about 586.7112626797.

The spelling of 201963680 in words is "two hundred one million, nine hundred sixty-three thousand, six hundred eighty".