187040256 has 320 divisors, whose sum is σ = 618710400. Its totient is φ = 49545216.

The previous prime is 187040219. The next prime is 187040257. The reversal of 187040256 is 652040781.

It is not an unprimeable number, because it can be changed into a prime (187040257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6449650 + ... + 6449678.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^187040256 is an apocalyptic number.

187040256 is a gapful number since it is divisible by the number (16) 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 187040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309355200).

187040256 is an abundant number, since it is smaller than the sum of its proper divisors (431670144).

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

187040256 is a wasteful number, since it uses less digits than its factorization.

187040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 187040256 is about 13676.2661571059. The cubic root of 187040256 is about 571.8889379624. Note that the first 3 decimals are identical.

The spelling of 187040256 in words is "one hundred eighty-seven million, forty thousand, two hundred fifty-six".