189769824 has 96 divisors (see below), whose sum is σ = 556416000. Its totient is φ = 62923392.

The previous prime is 189769819. The next prime is 189769843. The reversal of 189769824 is 428967981.

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

It is a super-2 number, since 2×189769824² = 72025172201981952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 206037 + ... + 206955.

It is an arithmetic number, because the mean of its divisors is an integer number (5796000).

Almost surely, 2^189769824 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 189769824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208000).

189769824 is an abundant number, since it is smaller than the sum of its proper divisors (366646176).

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

189769824 is a wasteful number, since it uses less digits than its factorization.

189769824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 189769824 is about 13775.6968607762. The cubic root of 189769824 is about 574.6574635350.

The spelling of 189769824 in words is "one hundred eighty-nine million, seven hundred sixty-nine thousand, eight hundred twenty-four".