189379360 has 48 divisors (see below), whose sum is σ = 449129016. Its totient is φ = 75460608.

The previous prime is 189379349. The next prime is 189379363. The reversal of 189379360 is 63973981.

It can be written as a sum of positive squares in 4 ways, for example, as 99281296 + 90098064 = 9964^2 + 9492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 189379360.

It is not an unprimeable number, because it can be changed into a prime (189379363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42184 + ... + 46456.

Almost surely, 2^189379360 is an apocalyptic number.

189379360 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 189379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224564508).

189379360 is an abundant number, since it is smaller than the sum of its proper divisors (259749656).

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

189379360 is a wasteful number, since it uses less digits than its factorization.

189379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4565 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 189379360 is about 13761.5173581986. The cubic root of 189379360 is about 574.2630609590.

The spelling of 189379360 in words is "one hundred eighty-nine million, three hundred seventy-nine thousand, three hundred sixty".