6123264 has 144 divisors (see below), whose sum is σ = 20014848. Its totient is φ = 1622016.

The previous prime is 6123259. The next prime is 6123277. The reversal of 6123264 is 4623216.

6123264 is digitally balanced in base 5, 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 (24).

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

Its product of digits (1728) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91359 + ... + 91425.

It is an arithmetic number, because the mean of its divisors is an integer number (138992).

Almost surely, 2^6123264 is an apocalyptic number.

6123264 is a gapful number since it is divisible by the number (64) 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 6123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10007424).

6123264 is an abundant number, since it is smaller than the sum of its proper divisors (13891584).

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

6123264 is a wasteful number, since it uses less digits than its factorization.

6123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 6123264 is about 2474.5229843346. The cubic root of 6123264 is about 182.9479980046.

The spelling of 6123264 in words is "six million, one hundred twenty-three thousand, two hundred sixty-four".