201342960 has 360 divisors, whose sum is σ = 849008160. Its totient is φ = 42384384.

The previous prime is 201342931. The next prime is 201343001. The reversal of 201342960 is 69243102.

201342960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 458421 + ... + 458859.

It is an arithmetic number, because the mean of its divisors is an integer number (2358356).

Almost surely, 2^201342960 is an apocalyptic number.

201342960 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 201342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424504080).

201342960 is an abundant number, since it is smaller than the sum of its proper divisors (647665200).

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

201342960 is a wasteful number, since it uses less digits than its factorization.

201342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 201342960 is about 14189.5369903320. The cubic root of 201342960 is about 586.1095750396.

The spelling of 201342960 in words is "two hundred one million, three hundred forty-two thousand, nine hundred sixty".