201864360 has 256 divisors, whose sum is σ = 684288000. Its totient is φ = 47416320.

The previous prime is 201864349. The next prime is 201864373. The reversal of 201864360 is 63468102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2843125 + ... + 2843195.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^201864360 is an apocalyptic number.

201864360 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 201864360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144000).

201864360 is an abundant number, since it is smaller than the sum of its proper divisors (482423640).

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

201864360 is a wasteful number, since it uses less digits than its factorization.

201864360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 201864360 is about 14207.8978036865. The cubic root of 201864360 is about 586.6150709330.

The spelling of 201864360 in words is "two hundred one million, eight hundred sixty-four thousand, three hundred sixty".