4056960 has 64 divisors (see below), whose sum is σ = 12937680. Its totient is φ = 1081344.

The previous prime is 4056919. The next prime is 4056967. The reversal of 4056960 is 696504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 2976.

Almost surely, 2^4056960 is an apocalyptic number.

4056960 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 4056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468840).

4056960 is an abundant number, since it is smaller than the sum of its proper divisors (8880720).

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

4056960 is a wasteful number, since it uses less digits than its factorization.

4056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 4056960 is about 2014.1896633634. The cubic root of 4056960 is about 159.4900430428.

The spelling of 4056960 in words is "four million, fifty-six thousand, nine hundred sixty".