189127680 has 176 divisors, whose sum is σ = 691722240. Its totient is φ = 43204608.

The previous prime is 189127639. The next prime is 189127721. The reversal of 189127680 is 86721981.

It is an interprime number because it is at equal distance from previous prime (189127639) and next prime (189127721).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 106641 + ... + 108399.

It is an arithmetic number, because the mean of its divisors is an integer number (3930240).

Almost surely, 2^189127680 is an apocalyptic number.

189127680 is a gapful number since it is divisible by the number (10) 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 189127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345861120).

189127680 is an abundant number, since it is smaller than the sum of its proper divisors (502594560).

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

189127680 is a wasteful number, since it uses less digits than its factorization.

189127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 189127680 is about 13752.3699775711. The cubic root of 189127680 is about 574.0085548709.

The spelling of 189127680 in words is "one hundred eighty-nine million, one hundred twenty-seven thousand, six hundred eighty".