4684680 has 288 divisors, whose sum is σ = 20554560. Its totient is φ = 898560.

The previous prime is 4684661. The next prime is 4684699. The reversal of 4684680 is 864864.

4684680 is digitally balanced in base 4, 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 (4684661) and next prime (4684699).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360354 + ... + 360366.

It is an arithmetic number, because the mean of its divisors is an integer number (71370).

Almost surely, 2^4684680 is an apocalyptic number.

4684680 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 4684680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277280).

4684680 is an abundant number, since it is smaller than the sum of its proper divisors (15869880).

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

4684680 is a wasteful number, since it uses less digits than its factorization.

4684680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4684680 is about 2164.4121603798. The cubic root of 4684680 is about 167.3246698830.

The spelling of 4684680 in words is "four million, six hundred eighty-four thousand, six hundred eighty".