4761120 has 192 divisors, whose sum is σ = 18627840. Its totient is φ = 995328.

The previous prime is 4761109. The next prime is 4761121. The reversal of 4761120 is 211674.

4761120 = T₅₀₄ + T₅₀₅ + ... + T₅₃₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 218 × 182 × 120.

It is not an unprimeable number, because it can be changed into a prime (4761121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43626 + ... + 43734.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

Almost surely, 2^4761120 is an apocalyptic number.

4761120 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 4761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

4761120 is an abundant number, since it is smaller than the sum of its proper divisors (13866720).

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

4761120 is a wasteful number, since it uses less digits than its factorization.

4761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 4761120 is about 2181.9990834095. Note that the first 3 decimals coincide. The cubic root of 4761120 is about 168.2298441324.

Adding to 4761120 its reverse (211674), we get a palindrome (4972794).

It can be divided in two parts, 476 and 1120, that added together give a triangular number (1596 = T₅₆).

The spelling of 4761120 in words is "four million, seven hundred sixty-one thousand, one hundred twenty".