1612468224 has 312 divisors, whose sum is σ = 5152073472. Its totient is φ = 483655680.

The previous prime is 1612468189. The next prime is 1612468229. The reversal of 1612468224 is 4228642161.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1612468229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19427287 + ... + 19427369.

It is an arithmetic number, because the mean of its divisors is an integer number (16513056).

Almost surely, 2^1612468224 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 1612468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576036736).

1612468224 is an abundant number, since it is smaller than the sum of its proper divisors (3539605248).

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

1612468224 is a wasteful number, since it uses less digits than its factorization.

1612468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1612468224 is about 40155.5503511034. The cubic root of 1612468224 is about 1172.6373466552.

It can be divided in two parts, 16124 and 68224, that added together give a palindrome (84348).

The spelling of 1612468224 in words is "one billion, six hundred twelve million, four hundred sixty-eight thousand, two hundred twenty-four".