201778960 has 20 divisors (see below), whose sum is σ = 469136268. Its totient is φ = 80711552.

The previous prime is 201778949. The next prime is 201778979. The reversal of 201778960 is 69877102.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 148547344 = 7296^2 + 12188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1261039 + ... + 1261198.

Almost surely, 2^201778960 is an apocalyptic number.

201778960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201778960 is an abundant number, since it is smaller than the sum of its proper divisors (267357308).

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

201778960 is a wasteful number, since it uses less digits than its factorization.

201778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522250 (or 2522244 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 201778960 is about 14204.8921150426. The cubic root of 201778960 is about 586.5323355205.

The spelling of 201778960 in words is "two hundred one million, seven hundred seventy-eight thousand, nine hundred sixty".