4561960 has 64 divisors (see below), whose sum is σ = 11450880. Its totient is φ = 1624320.

The previous prime is 4561943. The next prime is 4561979. The reversal of 4561960 is 691654.

4561960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4561960² = 41622958083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15979 + ... + 16261.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 2^4561960 is an apocalyptic number.

4561960 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 4561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725440).

4561960 is an abundant number, since it is smaller than the sum of its proper divisors (6888920).

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

4561960 is a wasteful number, since it uses less digits than its factorization.

4561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 4561960 is about 2135.8745281500. The cubic root of 4561960 is about 165.8506422567.

The spelling of 4561960 in words is "four million, five hundred sixty-one thousand, nine hundred sixty".