189456672 has 24 divisors (see below), whose sum is σ = 497324016. Its totient is φ = 63152192.

The previous prime is 189456649. The next prime is 189456677. The reversal of 189456672 is 276654981.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (189456677) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 986658 + ... + 986849.

It is an arithmetic number, because the mean of its divisors is an integer number (20721834).

Almost surely, 2^189456672 is an apocalyptic number.

189456672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189456672 is an abundant number, since it is smaller than the sum of its proper divisors (307867344).

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

189456672 is a wasteful number, since it uses less digits than its factorization.

189456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973520 (or 1973512 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 189456672 is about 13764.3260641413. The cubic root of 189456672 is about 574.3411958123.

The spelling of 189456672 in words is "one hundred eighty-nine million, four hundred fifty-six thousand, six hundred seventy-two".