4095960 has 128 divisors (see below), whose sum is σ = 13996800. Its totient is φ = 949760.

The previous prime is 4095953. The next prime is 4095979. The reversal of 4095960 is 695904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38227 + ... + 38333.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

Almost surely, 2^4095960 is an apocalyptic number.

4095960 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 4095960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998400).

4095960 is an abundant number, since it is smaller than the sum of its proper divisors (9900840).

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

4095960 is a wasteful number, since it uses less digits than its factorization.

4095960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 4095960 is about 2023.8478203659. The cubic root of 4095960 is about 159.9994791650. Note that the first 3 decimals are identical.

The spelling of 4095960 in words is "four million, ninety-five thousand, nine hundred sixty".