4646120 has 32 divisors (see below), whose sum is σ = 10712520. Its totient is φ = 1812480.

The previous prime is 4646113. The next prime is 4646123. The reversal of 4646120 is 216464.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2256004 + 2390116 = 1502^2 + 1546^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224 + ... + 3056.

Almost surely, 2^4646120 is an apocalyptic number.

4646120 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 4646120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356260).

4646120 is an abundant number, since it is smaller than the sum of its proper divisors (6066400).

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

4646120 is a wasteful number, since it uses less digits than its factorization.

4646120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4646120 is about 2155.4860240790. The cubic root of 4646120 is about 166.8643166254.

The spelling of 4646120 in words is "four million, six hundred forty-six thousand, one hundred twenty".