4388160 has 112 divisors (see below), whose sum is σ = 15947136. Its totient is φ = 1001472.

The previous prime is 4388117. The next prime is 4388171. The reversal of 4388160 is 618834.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6394 + ... + 7046.

Almost surely, 2^4388160 is an apocalyptic number.

4388160 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 4388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7973568).

4388160 is an abundant number, since it is smaller than the sum of its proper divisors (11558976).

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

4388160 is a wasteful number, since it uses less digits than its factorization.

4388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4388160 is about 2094.7935459133. The cubic root of 4388160 is about 163.7171408146.

The spelling of 4388160 in words is "four million, three hundred eighty-eight thousand, one hundred sixty".