227064960 has 192 divisors, whose sum is σ = 795600000. Its totient is φ = 59664384.

The previous prime is 227064941. The next prime is 227064961. The reversal of 227064960 is 69460722.

It is a happy number.

227064960 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (227064961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454791 + ... + 455289.

It is an arithmetic number, because the mean of its divisors is an integer number (4143750).

Almost surely, 2^227064960 is an apocalyptic number.

227064960 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 227064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800000).

227064960 is an abundant number, since it is smaller than the sum of its proper divisors (568535040).

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

227064960 is a wasteful number, since it uses less digits than its factorization.

227064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 227064960 is about 15068.6747924295. The cubic root of 227064960 is about 610.0752034846.

The spelling of 227064960 in words is "two hundred twenty-seven million, sixty-four thousand, nine hundred sixty".