4188960 has 72 divisors (see below), whose sum is σ = 14299740. Its totient is φ = 1116672.

The previous prime is 4188901. The next prime is 4188971. The reversal of 4188960 is 698814.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 76176 = 2028^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15 + ... + 2894.

Almost surely, 2^4188960 is an apocalyptic number.

4188960 is a gapful number since it is divisible by the number (40) 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 4188960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149870).

4188960 is an abundant number, since it is smaller than the sum of its proper divisors (10110780).

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

4188960 is a wasteful number, since it uses less digits than its factorization.

4188960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4188960 is about 2046.6948966566. The cubic root of 4188960 is about 161.2013734754.

The spelling of 4188960 in words is "four million, one hundred eighty-eight thousand, nine hundred sixty".