6121824 has 48 divisors (see below), whose sum is σ = 16454592. Its totient is φ = 1991808.

The previous prime is 6121807. The next prime is 6121847. The reversal of 6121824 is 4281216.

It is a tau number, because it is divible by the number of its divisors (48).

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.

It is a junction number, because it is equal to n+sod(n) for n = 6121794 and 6121803.

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 7 ways as a sum of consecutive naturals, for example, 3387 + ... + 4869.

It is an arithmetic number, because the mean of its divisors is an integer number (342804).

Almost surely, 2^6121824 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 6121824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227296).

6121824 is an abundant number, since it is smaller than the sum of its proper divisors (10332768).

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

6121824 is a wasteful number, since it uses less digits than its factorization.

6121824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1531 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 6121824 is about 2474.2320020564. The cubic root of 6121824 is about 182.9336556663.

The spelling of 6121824 in words is "six million, one hundred twenty-one thousand, eight hundred twenty-four".