4188720 has 80 divisors (see below), whose sum is σ = 13427712. Its totient is φ = 1079040.

The previous prime is 4188719. The next prime is 4188727. The reversal of 4188720 is 278814.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (4188727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7159 + ... + 7721.

Almost surely, 2^4188720 is an apocalyptic number.

4188720 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 4188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713856).

4188720 is an abundant number, since it is smaller than the sum of its proper divisors (9238992).

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

4188720 is a wasteful number, since it uses less digits than its factorization.

4188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 4188720 is about 2046.6362647036. The cubic root of 4188720 is about 161.1982948219.

The spelling of 4188720 in words is "four million, one hundred eighty-eight thousand, seven hundred twenty".