4661760 has 80 divisors (see below), whose sum is σ = 14927616. Its totient is φ = 1241088.

The previous prime is 4661747. The next prime is 4661773. The reversal of 4661760 is 671664.

4661760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4661747) and next prime (4661773).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7377 + ... + 7983.

Almost surely, 2^4661760 is an apocalyptic number.

4661760 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 4661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463808).

4661760 is an abundant number, since it is smaller than the sum of its proper divisors (10265856).

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

4661760 is an equidigital number, since it uses as much as digits as its factorization.

4661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4661760 is about 2159.1109281369. The cubic root of 4661760 is about 167.0513425747.

The spelling of 4661760 in words is "four million, six hundred sixty-one thousand, seven hundred sixty".