188743680 has 138 divisors (see below), whose sum is σ = 654311346. Its totient is φ = 50331648.

The previous prime is 188743679. The next prime is 188743691. The reversal of 188743680 is 86347881.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)¹⁸.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 37748736 = 12288^2 + 6144^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748734 + ... + 37748738.

Almost surely, 2^188743680 is an apocalyptic number.

188743680 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 188743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327155673).

188743680 is an abundant number, since it is smaller than the sum of its proper divisors (465567666).

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

188743680 is an frugal number, since it uses more digits than its factorization.

188743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 188743680 is about 13738.4016537587. The cubic root of 188743680 is about 573.6198075593.

Multiplying 188743680 by its sum of digits (45), we get a square (8493465600 = 92160²).

188743680 divided by its sum of digits (45) gives a 22-nd power (4194304 = 2²²).

The spelling of 188743680 in words is "one hundred eighty-eight million, seven hundred forty-three thousand, six hundred eighty".