187987968 has 288 divisors, whose sum is σ = 654151680. Its totient is φ = 50872320.

The previous prime is 187987951. The next prime is 187987991. The reversal of 187987968 is 869789781.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×187987968² = 70678952225538048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3999721 + ... + 3999767.

It is an arithmetic number, because the mean of its divisors is an integer number (2271360).

Almost surely, 2^187987968 is an apocalyptic number.

187987968 is a gapful number since it is divisible by the number (18) 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 187987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

187987968 is an abundant number, since it is smaller than the sum of its proper divisors (466163712).

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

187987968 is a wasteful number, since it uses less digits than its factorization.

187987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 63.

The square root of 187987968 is about 13710.8704318872. The cubic root of 187987968 is about 572.8532102083.

The spelling of 187987968 in words is "one hundred eighty-seven million, nine hundred eighty-seven thousand, nine hundred sixty-eight".