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4027968 = 2635737

4027968 has 168 divisors, whose sum is σ = 14053312. Its totient is φ = 1119744.

The previous prime is 4027957. The next prime is 4027993. The reversal of 4027968 is 8697204.

4027968 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 (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 23 ways as a sum of consecutive naturals, for example, 108846 + ... + 108882.

Almost surely, 24027968 is an apocalyptic number.

4027968 is a gapful number since it is divisible by the number (48) 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 4027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026656).

4027968 is an abundant number, since it is smaller than the sum of its proper divisors (10025344).

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

4027968 is an equidigital number, since it uses as much as digits as its factorization.

4027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4027968 is about 2006.9798205264. The cubic root of 4027968 is about 159.1092165252.

The spelling of 4027968 in words is "four million, twenty-seven thousand, nine hundred sixty-eight".