227608920 has 768 divisors, whose sum is σ = 1063756800. Its totient is φ = 42577920.

The previous prime is 227608919. The next prime is 227608939. The reversal of 227608920 is 29806722.

227608920 is a `hidden beast` number, since 2 + 27 + 608 + 9 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 9896029 + ... + 9896051.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^227608920 is an apocalyptic number.

227608920 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 227608920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531878400).

227608920 is an abundant number, since it is smaller than the sum of its proper divisors (836147880).

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

227608920 is a wasteful number, since it uses less digits than its factorization.

227608920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 227608920 is about 15086.7133597746. The cubic root of 227608920 is about 610.5619832147.

The spelling of 227608920 in words is "two hundred twenty-seven million, six hundred eight thousand, nine hundred twenty".