4047360 has 160 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 983040.

The previous prime is 4047359. The next prime is 4047367. The reversal of 4047360 is 637404.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×4047360² = 32762245939200, which contains 22 as substring.

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 4047360.

It is not an unprimeable number, because it can be changed into a prime (4047367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130545 + ... + 130575.

Almost surely, 2^4047360 is an apocalyptic number.

4047360 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 4047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

4047360 is an abundant number, since it is smaller than the sum of its proper divisors (10094592).

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

4047360 is a wasteful number, since it uses less digits than its factorization.

4047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 4047360 is about 2011.8051595520. The cubic root of 4047360 is about 159.3641430513.

The spelling of 4047360 in words is "four million, forty-seven thousand, three hundred sixty".