4125264 has 80 divisors (see below), whose sum is σ = 12540864. Its totient is φ = 1152000.

The previous prime is 4125259. The next prime is 4125281. The reversal of 4125264 is 4625214.

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a congruent number.

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, 6564 + ... + 7164.

Almost surely, 2^4125264 is an apocalyptic number.

4125264 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 4125264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270432).

4125264 is an abundant number, since it is smaller than the sum of its proper divisors (8415600).

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

4125264 is a wasteful number, since it uses less digits than its factorization.

4125264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 4125264 is about 2031.0745924264. The cubic root of 4125264 is about 160.3801377968.

The spelling of 4125264 in words is "four million, one hundred twenty-five thousand, two hundred sixty-four".