227641680 has 360 divisors, whose sum is σ = 922012416. Its totient is φ = 49282560.

The previous prime is 227641669. The next prime is 227641697. The reversal of 227641680 is 86146722.

227641680 is a `hidden beast` number, since 2 + 2 + 7 + 641 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4843417 + ... + 4843463.

Almost surely, 2^227641680 is an apocalyptic number.

227641680 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 227641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461006208).

227641680 is an abundant number, since it is smaller than the sum of its proper divisors (694370736).

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

227641680 is a wasteful number, since it uses less digits than its factorization.

227641680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 227641680 is about 15087.7990442609. The cubic root of 227641680 is about 610.5912747600.

It can be divided in two parts, 2276 and 41680, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 227641680 in words is "two hundred twenty-seven million, six hundred forty-one thousand, six hundred eighty".