4768120 has 32 divisors (see below), whose sum is σ = 12261600. Its totient is φ = 1634688.

The previous prime is 4768097. The next prime is 4768129. The reversal of 4768120 is 218674.

4768120 = T₂₃₄ + T₂₃₅ + ... + T₃₄₅.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8235 + ... + 8794.

It is an arithmetic number, because the mean of its divisors is an integer number (383175).

Almost surely, 2^4768120 is an apocalyptic number.

4768120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4768120 is an abundant number, since it is smaller than the sum of its proper divisors (7493480).

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

4768120 is a wasteful number, since it uses less digits than its factorization.

4768120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17047 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 4768120 is about 2183.6025279341. The cubic root of 4768120 is about 168.3122499709.

The spelling of 4768120 in words is "four million, seven hundred sixty-eight thousand, one hundred twenty".