187448960 has 64 divisors (see below), whose sum is σ = 450976680. Its totient is φ = 74502144.

The previous prime is 187448929. The next prime is 187449013. The reversal of 187448960 is 69844781.

187448960 = 58² + 59² + ... + 825².

It can be written as a sum of positive squares in 4 ways, for example, as 172764736 + 14684224 = 13144^2 + 3832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×187448960² = 70274225210163200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109874 + ... + 111566.

Almost surely, 2^187448960 is an apocalyptic number.

187448960 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 187448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225488340).

187448960 is an abundant number, since it is smaller than the sum of its proper divisors (263527720).

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

187448960 is a wasteful number, since it uses less digits than its factorization.

187448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 187448960 is about 13691.2000934907. The cubic root of 187448960 is about 572.3051821503.

The spelling of 187448960 in words is "one hundred eighty-seven million, four hundred forty-eight thousand, nine hundred sixty".