187264 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 69120.

The previous prime is 187237. The next prime is 187273. The reversal of 187264 is 462781.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

187264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9847 + ... + 9865.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

187264 is a Friedman number, since it can be written as 418*7*2^6, using all its digits and the basic arithmetic operations.

2¹⁸⁷²⁶⁴ is an apocalyptic number.

187264 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 187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

187264 is an abundant number, since it is smaller than the sum of its proper divisors (302336).

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

187264 is a wasteful number, since it uses less digits than its factorization.

187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 187264 is about 432.7401067616. The cubic root of 187264 is about 57.2116884846.

It can be divided in two parts, 1872 and 64, that added together give a square (1936 = 44²).

The spelling of 187264 in words is "one hundred eighty-seven thousand, two hundred sixty-four".