187964 has 24 divisors (see below), whose sum is σ = 386400. Its totient is φ = 79968.

The previous prime is 187963. The next prime is 187973. The reversal of 187964 is 469781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (16100).

2¹⁸⁷⁹⁶⁴ is an apocalyptic number.

187964 is a gapful number since it is divisible by the number (14) 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 187964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193200).

187964 is an abundant number, since it is smaller than the sum of its proper divisors (198436).

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

187964 is a wasteful number, since it uses less digits than its factorization.

187964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 187964 is about 433.5481518817. The cubic root of 187964 is about 57.2828863385.

The spelling of 187964 in words is "one hundred eighty-seven thousand, nine hundred sixty-four".