4677120 has 240 divisors, whose sum is σ = 19150560. Its totient is φ = 1032192.

The previous prime is 4677089. The next prime is 4677121. The reversal of 4677120 is 217764.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161266 + ... + 161294.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

Almost surely, 2^4677120 is an apocalyptic number.

4677120 is a gapful number since it is divisible by the number (40) 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 4677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

4677120 is an abundant number, since it is smaller than the sum of its proper divisors (14473440).

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

4677120 is a wasteful number, since it uses less digits than its factorization.

4677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 4677120 is about 2162.6650226052. The cubic root of 4677120 is about 167.2346135309.

The spelling of 4677120 in words is "four million, six hundred seventy-seven thousand, one hundred twenty".