189613440 has 128 divisors (see below), whose sum is σ = 671608800. Its totient is φ = 50558976.

The previous prime is 189613423. The next prime is 189613441. The reversal of 189613440 is 44316981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 189613395 and 189613404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11794 + ... + 22766.

Almost surely, 2^189613440 is an apocalyptic number.

189613440 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 189613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335804400).

189613440 is an abundant number, since it is smaller than the sum of its proper divisors (481995360).

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

189613440 is a wasteful number, since it uses less digits than its factorization.

189613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11001 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 189613440 is about 13770.0196078292. The cubic root of 189613440 is about 574.4995671110.

The spelling of 189613440 in words is "one hundred eighty-nine million, six hundred thirteen thousand, four hundred forty".