4097960 has 32 divisors (see below), whose sum is σ = 9399240. Its totient is φ = 1607424.

The previous prime is 4097957. The next prime is 4097981. The reversal of 4097960 is 697904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3833764 + 264196 = 1958^2 + 514^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4097960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154 + ... + 3086.

Almost surely, 2^4097960 is an apocalyptic number.

4097960 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 4097960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699620).

4097960 is an abundant number, since it is smaller than the sum of its proper divisors (5301280).

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

4097960 is a wasteful number, since it uses less digits than its factorization.

4097960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 4097960 is about 2024.3418683612. The cubic root of 4097960 is about 160.0255167637.

The spelling of 4097960 in words is "four million, ninety-seven thousand, nine hundred sixty".