4177968 has 20 divisors (see below), whose sum is σ = 10793208. Its totient is φ = 1392640.

The previous prime is 4177939. The next prime is 4177969. The reversal of 4177968 is 8697714.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (4177969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43473 + ... + 43568.

Almost surely, 2^4177968 is an apocalyptic number.

4177968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4177968 is an abundant number, since it is smaller than the sum of its proper divisors (6615240).

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

4177968 is a wasteful number, since it uses less digits than its factorization.

4177968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87052 (or 87046 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 4177968 is about 2044.0078277737. The cubic root of 4177968 is about 161.0602503304.

It can be divided in two parts, 417 and 7968, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 4177968 in words is "four million, one hundred seventy-seven thousand, nine hundred sixty-eight".