189906048 has 96 divisors (see below), whose sum is σ = 578679660. Its totient is φ = 59572224.

The previous prime is 189906037. The next prime is 189906071. The reversal of 189906048 is 840609981.

It can be written as a sum of positive squares in 2 ways, for example, as 189117504 + 788544 = 13752^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 189905994 and 189906012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14736 + ... + 24432.

Almost surely, 2^189906048 is an apocalyptic number.

189906048 is a gapful number since it is divisible by the number (18) 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 189906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289339830).

189906048 is an abundant number, since it is smaller than the sum of its proper divisors (388773612).

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

189906048 is a wasteful number, since it uses less digits than its factorization.

189906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9734 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189906048 is about 13780.6403334533. The cubic root of 189906048 is about 574.7949343103.

The spelling of 189906048 in words is "one hundred eighty-nine million, nine hundred six thousand, forty-eight".