4688376 has 128 divisors (see below), whose sum is σ = 15206400. Its totient is φ = 1169280.

The previous prime is 4688371. The next prime is 4688377. The reversal of 4688376 is 6738864.

4688376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688371) 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, 79435 + ... + 79493.

It is an arithmetic number, because the mean of its divisors is an integer number (118800).

Almost surely, 2^4688376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603200).

4688376 is an abundant number, since it is smaller than the sum of its proper divisors (10518024).

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

4688376 is a wasteful number, since it uses less digits than its factorization.

4688376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 4688376 is about 2165.2658035447. The cubic root of 4688376 is about 167.3686621737.

4688376 divided by its sum of digits (42) gives a triangular number (111628 = T₄₇₂).

The spelling of 4688376 in words is "four million, six hundred eighty-eight thousand, three hundred seventy-six".