4615120 has 20 divisors (see below), whose sum is σ = 10730340. Its totient is φ = 1846016.

The previous prime is 4615099. The next prime is 4615123. The reversal of 4615120 is 215164.

4615120 = 170² + 171² + ... + 265².

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 3474496 = 1068^2 + 1864^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4615120² = 42598665228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4615123) 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 3 ways as a sum of consecutive naturals, for example, 28765 + ... + 28924.

It is an arithmetic number, because the mean of its divisors is an integer number (536517).

Almost surely, 2^4615120 is an apocalyptic number.

4615120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4615120 is an abundant number, since it is smaller than the sum of its proper divisors (6115220).

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

4615120 is a wasteful number, since it uses less digits than its factorization.

4615120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57702 (or 57696 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 4615120 is about 2148.2830353564. The cubic root of 4615120 is about 166.4923688964.

The spelling of 4615120 in words is "four million, six hundred fifteen thousand, one hundred twenty".