227664000 has 512 divisors, whose sum is σ = 916531200. Its totient is φ = 55296000.

The previous prime is 227663987. The next prime is 227664001. The reversal of 227664000 is 466722.

227664000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (227664001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343985 + ... + 7344015.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2^227664000 is an apocalyptic number.

227664000 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 227664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458265600).

227664000 is an abundant number, since it is smaller than the sum of its proper divisors (688867200).

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

227664000 is a wasteful number, since it uses less digits than its factorization.

227664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 227664000 is about 15088.5386966399. The cubic root of 227664000 is about 610.6112300275.

The spelling of 227664000 in words is "two hundred twenty-seven million, six hundred sixty-four thousand".