4125924 has 96 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1188000.

The previous prime is 4125899. The next prime is 4125941. The reversal of 4125924 is 4295214.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 27249 + ... + 27399.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

Almost surely, 2^4125924 is an apocalyptic number.

4125924 is a gapful number since it is divisible by the number (44) 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 4125924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4125924 is an abundant number, since it is smaller than the sum of its proper divisors (8131356).

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

4125924 is a wasteful number, since it uses less digits than its factorization.

4125924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 4125924 is about 2031.2370614973. The cubic root of 4125924 is about 160.3886904006.

It can be divided in two parts, 412 and 5924, that added together give a palindrome (6336).

The spelling of 4125924 in words is "four million, one hundred twenty-five thousand, nine hundred twenty-four".