188742960 has 480 divisors, whose sum is σ = 801615360. Its totient is φ = 40310784.

The previous prime is 188742949. The next prime is 188743001. The reversal of 188742960 is 69247881.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585484 + ... + 2585556.

It is an arithmetic number, because the mean of its divisors is an integer number (1670032).

Almost surely, 2^188742960 is an apocalyptic number.

188742960 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 188742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400807680).

188742960 is an abundant number, since it is smaller than the sum of its proper divisors (612872400).

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

188742960 is a wasteful number, since it uses less digits than its factorization.

188742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 188742960 is about 13738.3754498121. The cubic root of 188742960 is about 573.6190781631.

The spelling of 188742960 in words is "one hundred eighty-eight million, seven hundred forty-two thousand, nine hundred sixty".