189825216 has 84 divisors (see below), whose sum is σ = 584274168. Its totient is φ = 54233088.

The previous prime is 189825193. The next prime is 189825227. The reversal of 189825216 is 612528981.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×189825216² = 72067225258893312, which contains 22 as substring.

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

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, 681 + ... + 19496.

Almost surely, 2^189825216 is an apocalyptic number.

189825216 is a gapful number since it is divisible by the number (16) 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 189825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292137084).

189825216 is an abundant number, since it is smaller than the sum of its proper divisors (394448952).

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

189825216 is a wasteful number, since it uses less digits than its factorization.

189825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20206 (or 20189 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 189825216 is about 13777.7072112888. The cubic root of 189825216 is about 574.7133704384.

The spelling of 189825216 in words is "one hundred eighty-nine million, eight hundred twenty-five thousand, two hundred sixteen".