4014960 has 40 divisors (see below), whose sum is σ = 12447120. Its totient is φ = 1070592.

The previous prime is 4014937. The next prime is 4014971. The reversal of 4014960 is 694104.

4014960 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4014960² = 32239807603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4014960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125 + ... + 8604.

It is an arithmetic number, because the mean of its divisors is an integer number (311178).

Almost surely, 2^4014960 is an apocalyptic number.

4014960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014960 is an abundant number, since it is smaller than the sum of its proper divisors (8432160).

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

4014960 is a wasteful number, since it uses less digits than its factorization.

4014960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16745 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4014960 is about 2003.7365096240. The cubic root of 4014960 is about 158.9377549956.

The spelling of 4014960 in words is "four million, fourteen thousand, nine hundred sixty".