613438920 has 224 divisors, whose sum is σ = 2099215800. Its totient is φ = 161243136.

The previous prime is 613438913. The next prime is 613438939. The reversal of 613438920 is 29834316.

613438920 is a `hidden beast` number, since 613 + 4 + 38 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 473584644 + 139854276 = 21762^2 + 11826^2 .

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

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 55 ways as a sum of consecutive naturals, for example, 3178344 + ... + 3178536.

Almost surely, 2^613438920 is an apocalyptic number.

613438920 is a gapful number since it is divisible by the number (60) 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 613438920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049607900).

613438920 is an abundant number, since it is smaller than the sum of its proper divisors (1485776880).

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

613438920 is a wasteful number, since it uses less digits than its factorization.

613438920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 613438920 is about 24767.6991260795. The cubic root of 613438920 is about 849.6833514892.

It can be divided in two parts, 6134 and 38920, that added together give a palindrome (45054).

The spelling of 613438920 in words is "six hundred thirteen million, four hundred thirty-eight thousand, nine hundred twenty".