4116960 has 96 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 1096704.

The previous prime is 4116923. The next prime is 4116967. The reversal of 4116960 is 696114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116967) 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, 3844 + ... + 4796.

It is an arithmetic number, because the mean of its divisors is an integer number (150255).

Almost surely, 2^4116960 is an apocalyptic number.

4116960 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 4116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212240).

4116960 is an abundant number, since it is smaller than the sum of its proper divisors (10307520).

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

4116960 is a wasteful number, since it uses less digits than its factorization.

4116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4116960 is about 2029.0293245786. The cubic root of 4116960 is about 160.2724524637.

It can be divided in two parts, 4 and 116960, that added together give a square (116964 = 342²).

The spelling of 4116960 in words is "four million, one hundred sixteen thousand, nine hundred sixty".