189968064 has 336 divisors, whose sum is σ = 646992864. Its totient is φ = 48660480.

The previous prime is 189968057. The next prime is 189968071. The reversal of 189968064 is 460869981.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (189968057) and next prime (189968071).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 189967998 and 189968016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5134254 + ... + 5134290.

It is an arithmetic number, because the mean of its divisors is an integer number (1925574).

Almost surely, 2^189968064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323496432).

189968064 is an abundant number, since it is smaller than the sum of its proper divisors (457024800).

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

189968064 is a wasteful number, since it uses less digits than its factorization.

189968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 189968064 is about 13782.8902629311. The cubic root of 189968064 is about 574.8574961288.

The spelling of 189968064 in words is "one hundred eighty-nine million, nine hundred sixty-eight thousand, sixty-four".