6121416 has 64 divisors (see below), whose sum is σ = 17740800. Its totient is φ = 1723968.

The previous prime is 6121403. The next prime is 6121417. The reversal of 6121416 is 6141216.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6121392 and 6121401.

It is not an unprimeable number, because it can be changed into a prime (6121417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13725 + ... + 14163.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^6121416 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 6121416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870400).

6121416 is an abundant number, since it is smaller than the sum of its proper divisors (11619384).

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

6121416 is a wasteful number, since it uses less digits than its factorization.

6121416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 6121416 is about 2474.1495508558. The cubic root of 6121416 is about 182.9295915949.

The spelling of 6121416 in words is "six million, one hundred twenty-one thousand, four hundred sixteen".