4935168 has 200 divisors, whose sum is σ = 17824752. Its totient is φ = 1327104.

The previous prime is 4935167. The next prime is 4935187. The reversal of 4935168 is 8615394.

4935168 is a `hidden beast` number, since 493 + 5 + 168 = 666.

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

Its product of digits (25920) is a multiple of the sum of its prime factors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4935167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 290296 + ... + 290312.

Almost surely, 2^4935168 is an apocalyptic number.

4935168 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 4935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912376).

4935168 is an abundant number, since it is smaller than the sum of its proper divisors (12889584).

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

4935168 is an equidigital number, since it uses as much as digits as its factorization.

4935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 29 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 4935168 is about 2221.5238013580. The cubic root of 4935168 is about 170.2553026740.

The spelling of 4935168 in words is "four million, nine hundred thirty-five thousand, one hundred sixty-eight".