4187664 has 60 divisors (see below), whose sum is σ = 12626796. Its totient is φ = 1287936.

The previous prime is 4187663. The next prime is 4187669. The reversal of 4187664 is 4667814.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 2250000 = 1392^2 + 1500^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4187663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754 + ... + 2990.

Almost surely, 2^4187664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4187664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313398).

4187664 is an abundant number, since it is smaller than the sum of its proper divisors (8439132).

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

4187664 is a wasteful number, since it uses less digits than its factorization.

4187664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2255 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4187664 is about 2046.3782641535. The cubic root of 4187664 is about 161.1847473495.

It can be divided in two parts, 4187 and 664, that added together give a triangular number (4851 = T₉₈).

The spelling of 4187664 in words is "four million, one hundred eighty-seven thousand, six hundred sixty-four".