4191360 has 128 divisors (see below), whose sum is σ = 13953600. Its totient is φ = 1069056.

The previous prime is 4191353. The next prime is 4191373. The reversal of 4191360 is 631914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4191360.

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, 71011 + ... + 71069.

Almost surely, 2^4191360 is an apocalyptic number.

4191360 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 4191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

4191360 is an abundant number, since it is smaller than the sum of its proper divisors (9762240).

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

4191360 is a wasteful number, since it uses less digits than its factorization.

4191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4191360 is about 2047.2811238323. The cubic root of 4191360 is about 161.2321535444.

The spelling of 4191360 in words is "four million, one hundred ninety-one thousand, three hundred sixty".