4688000 has 64 divisors (see below), whose sum is σ = 11695320. Its totient is φ = 1868800.

The previous prime is 4687999. The next prime is 4688017. The reversal of 4688000 is 8864.

It can be written as a sum of positive squares in 4 ways, for example, as 2637376 + 2050624 = 1624^2 + 1432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15854 + ... + 16146.

Almost surely, 2^4688000 is an apocalyptic number.

4688000 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 4688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660).

4688000 is an abundant number, since it is smaller than the sum of its proper divisors (7007320).

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

4688000 is an equidigital number, since it uses as much as digits as its factorization.

4688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4688000 is about 2165.1789764359. The cubic root of 4688000 is about 167.3641878241.

The spelling of 4688000 in words is "four million, six hundred eighty-eight thousand".