4686920 has 64 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1520640.

The previous prime is 4686919. The next prime is 4686931. The reversal of 4686920 is 296864.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 4880 + ... + 5760.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^4686920 is an apocalyptic number.

4686920 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 4686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4686920 is an abundant number, since it is smaller than the sum of its proper divisors (8013880).

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

4686920 is a wasteful number, since it uses less digits than its factorization.

4686920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 4686920 is about 2164.9295600550. The cubic root of 4686920 is about 167.3513346383.

The spelling of 4686920 in words is "four million, six hundred eighty-six thousand, nine hundred twenty".