4686000 has 160 divisors (see below), whose sum is σ = 16713216. Its totient is φ = 1120000.

The previous prime is 4685987. The next prime is 4686007. The reversal of 4686000 is 6864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65965 + ... + 66035.

Almost surely, 2^4686000 is an apocalyptic number.

4686000 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 4686000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608).

4686000 is an abundant number, since it is smaller than the sum of its proper divisors (12027216).

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

4686000 is a wasteful number, since it uses less digits than its factorization.

4686000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

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

The square root of 4686000 is about 2164.7170715823. The cubic root of 4686000 is about 167.3403840707.

It can be divided in two parts, 4 and 686000, that multiplied together give a cube (2744000 = 140³).

The spelling of 4686000 in words is "four million, six hundred eighty-six thousand".