201264360 has 128 divisors (see below), whose sum is σ = 697507200. Its totient is φ = 45916160.

The previous prime is 201264341. The next prime is 201264389. The reversal of 201264360 is 63462102.

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 201264360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17956 + ... + 26924.

It is an arithmetic number, because the mean of its divisors is an integer number (5449275).

Almost surely, 2^201264360 is an apocalyptic number.

201264360 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 201264360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348753600).

201264360 is an abundant number, since it is smaller than the sum of its proper divisors (496242840).

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

201264360 is a wasteful number, since it uses less digits than its factorization.

201264360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 201264360 is about 14186.7670735795. The cubic root of 201264360 is about 586.0332968845.

The spelling of 201264360 in words is "two hundred one million, two hundred sixty-four thousand, three hundred sixty".