4666760 has 48 divisors (see below), whose sum is σ = 12219660. Its totient is φ = 1599360.

The previous prime is 4666741. The next prime is 4666777. The reversal of 4666760 is 676664.

4666760 = 288² + 289² + ... + 335².

4666760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3786916 + 879844 = 1946^2 + 938^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4666760.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770 + ... + 3150.

Almost surely, 2^4666760 is an apocalyptic number.

4666760 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 4666760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109830).

4666760 is an abundant number, since it is smaller than the sum of its proper divisors (7552900).

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

4666760 is a wasteful number, since it uses less digits than its factorization.

4666760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 4666760 is about 2160.2685018303. The cubic root of 4666760 is about 167.1110452243. Note that the first 3 decimals are identical.

The spelling of 4666760 in words is "four million, six hundred sixty-six thousand, seven hundred sixty".