201874960 has 80 divisors (see below), whose sum is σ = 550964736. Its totient is φ = 67336704.

The previous prime is 201874951. The next prime is 201874963. The reversal of 201874960 is 69478102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×201874960³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (201874963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15849 + ... + 25591.

Almost surely, 2^201874960 is an apocalyptic number.

201874960 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 201874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275482368).

201874960 is an abundant number, since it is smaller than the sum of its proper divisors (349089776).

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

201874960 is a wasteful number, since it uses less digits than its factorization.

201874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9794 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 201874960 is about 14208.2708307521. The cubic root of 201874960 is about 586.6253385717.

The spelling of 201874960 in words is "two hundred one million, eight hundred seventy-four thousand, nine hundred sixty".