4668000 has 96 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 1241600.

The previous prime is 4667989. The next prime is 4668023. The reversal of 4668000 is 8664.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 11806 + ... + 12194.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 2^4668000 is an apocalyptic number.

4668000 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 4668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

4668000 is an abundant number, since it is smaller than the sum of its proper divisors (10663680).

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

4668000 is a wasteful number, since it uses less digits than its factorization.

4668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4668000 is about 2160.5554841290. Note that the first 3 decimals coincide. The cubic root of 4668000 is about 167.1258448815.

The spelling of 4668000 in words is "four million, six hundred sixty-eight thousand".