189267968 has 60 divisors (see below), whose sum is σ = 399507075. Its totient is φ = 89653248.

The previous prime is 189267961. The next prime is 189267979. The reversal of 189267968 is 869762981.

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 only one way, i.e., 94633984 + 94633984 = 9728^2 + 9728^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9728.

It is a Duffinian number.

Its product of digits (2612736) is a multiple of the sum of its prime divisors (21).

It is not an unprimeable number, because it can be changed into a prime (189267961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9961463 + ... + 9961481.

Almost surely, 2^189267968 is an apocalyptic number.

189267968 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189267968

189267968 is an abundant number, since it is smaller than the sum of its proper divisors (210239107).

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

189267968 is an frugal number, since it uses more digits than its factorization.

189267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 56.

The square root of 189267968 is about 13757.4695347655. The cubic root of 189267968 is about 574.1504459818.

The spelling of 189267968 in words is "one hundred eighty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".