182227968 has 220 divisors, whose sum is σ = 589495060. Its totient is φ = 56070144.

The previous prime is 182227963. The next prime is 182227979. The reversal of 182227968 is 869722281.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 175509504 = 2592^2 + 13248^2 .

Its product of digits (193536) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182227963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14017530 + ... + 14017542.

It is an arithmetic number, because the mean of its divisors is an integer number (2679523).

Almost surely, 2^182227968 is an apocalyptic number.

182227968 is a gapful number since it is divisible by the number (18) 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 182227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294747530).

182227968 is an abundant number, since it is smaller than the sum of its proper divisors (407267092).

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

182227968 is an frugal number, since it uses more digits than its factorization.

182227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 18 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 182227968 is about 13499.1839753372. The cubic root of 182227968 is about 566.9416249636.

It can be divided in two parts, 182 and 227968, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 182227968 in words is "one hundred eighty-two million, two hundred twenty-seven thousand, nine hundred sixty-eight".