4688124 has 96 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 1241856.

The previous prime is 4688087. The next prime is 4688137. The reversal of 4688124 is 4218864.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (12288) is a multiple of the sum of its prime divisors (96).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69939 + ... + 70005.

It is an arithmetic number, because the mean of its divisors is an integer number (142800).

Almost surely, 2^4688124 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 4688124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

4688124 is an abundant number, since it is smaller than the sum of its proper divisors (9020676).

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

4688124 is a wasteful number, since it uses less digits than its factorization.

4688124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 96 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4688124 is about 2165.2076112927. The cubic root of 4688124 is about 167.3656634339.

The spelling of 4688124 in words is "four million, six hundred eighty-eight thousand, one hundred twenty-four".