201291360 has 96 divisors (see below), whose sum is σ = 638904672. Its totient is φ = 53268480.

The previous prime is 201291347. The next prime is 201291397. The reversal of 201291360 is 63192102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201291360² = 81036423221299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201291360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64230 + ... + 67290.

It is an arithmetic number, because the mean of its divisors is an integer number (6655257).

Almost surely, 2^201291360 is an apocalyptic number.

201291360 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 201291360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319452336).

201291360 is an abundant number, since it is smaller than the sum of its proper divisors (437613312).

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

201291360 is a wasteful number, since it uses less digits than its factorization.

201291360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 201291360 is about 14187.7186326766. The cubic root of 201291360 is about 586.0595015431.

The spelling of 201291360 in words is "two hundred one million, two hundred ninety-one thousand, three hundred sixty".