4015968 has 48 divisors (see below), whose sum is σ = 11503296. Its totient is φ = 1216640.

The previous prime is 4015939. The next prime is 4015981. The reversal of 4015968 is 8695104.

4015968 is digitally balanced in base 2, because in such base 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 (48).

It is a super-2 number, since 2×4015968² = 32255997954048, which contains 22 as substring.

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 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, 846 + ... + 2957.

It is an arithmetic number, because the mean of its divisors is an integer number (239652).

Almost surely, 2^4015968 is an apocalyptic number.

4015968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4015968 is an abundant number, since it is smaller than the sum of its proper divisors (7487328).

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

4015968 is a wasteful number, since it uses less digits than its factorization.

4015968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4015968 is about 2003.9880239163. The cubic root of 4015968 is about 158.9510549082.

The spelling of 4015968 in words is "four million, fifteen thousand, nine hundred sixty-eight".