187638240 has 96 divisors (see below), whose sum is σ = 604872576. Its totient is φ = 48867840.

The previous prime is 187638229. The next prime is 187638247. The reversal of 187638240 is 42836781.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×187638240² = 70416218220595200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187638247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16095 + ... + 25185.

It is an arithmetic number, because the mean of its divisors is an integer number (6300756).

Almost surely, 2^187638240 is an apocalyptic number.

187638240 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 187638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302436288).

187638240 is an abundant number, since it is smaller than the sum of its proper divisors (417234336).

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

187638240 is a wasteful number, since it uses less digits than its factorization.

187638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 187638240 is about 13698.1108186494. The cubic root of 187638240 is about 572.4977492077.

The spelling of 187638240 in words is "one hundred eighty-seven million, six hundred thirty-eight thousand, two hundred forty".