4097160 has 96 divisors (see below), whose sum is σ = 14040000. Its totient is φ = 1033344.

The previous prime is 4097143. The next prime is 4097167. The reversal of 4097160 is 617904.

It is a super-3 number, since 3×4097160³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4097167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6541 + ... + 7139.

It is an arithmetic number, because the mean of its divisors is an integer number (146250).

Almost surely, 2^4097160 is an apocalyptic number.

4097160 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 4097160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020000).

4097160 is an abundant number, since it is smaller than the sum of its proper divisors (9942840).

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

4097160 is a wasteful number, since it uses less digits than its factorization.

4097160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4097160 is about 2024.1442636334. The cubic root of 4097160 is about 160.0151027410.

It can be divided in two parts, 409 and 7160, that added together give a square (7569 = 87²).

The spelling of 4097160 in words is "four million, ninety-seven thousand, one hundred sixty".