188904960 has 200 divisors, whose sum is σ = 677340576. Its totient is φ = 50319360.

The previous prime is 188904953. The next prime is 188904971. The reversal of 188904960 is 69409881.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 206905 + ... + 207815.

Almost surely, 2^188904960 is an apocalyptic number.

188904960 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 188904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338670288).

188904960 is an abundant number, since it is smaller than the sum of its proper divisors (488435616).

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

188904960 is an frugal number, since it uses more digits than its factorization.

188904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 921 counting only the distinct ones).

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

The square root of 188904960 is about 13744.2700788365. The cubic root of 188904960 is about 573.7831455925.

The spelling of 188904960 in words is "one hundred eighty-eight million, nine hundred four thousand, nine hundred sixty".