4077168 has 60 divisors (see below), whose sum is σ = 11016408. Its totient is φ = 1299200.

The previous prime is 4077167. The next prime is 4077169. The reversal of 4077168 is 8617704.

It is an interprime number because it is at equal distance from previous prime (4077167) and next prime (4077169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40318 + ... + 40418.

Almost surely, 2^4077168 is an apocalyptic number.

4077168 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 4077168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508204).

4077168 is an abundant number, since it is smaller than the sum of its proper divisors (6939240).

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

4077168 is a wasteful number, since it uses less digits than its factorization.

4077168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 4077168 is about 2019.1998415214. The cubic root of 4077168 is about 159.7544149093.

The spelling of 4077168 in words is "four million, seventy-seven thousand, one hundred sixty-eight".