613638144 has 336 divisors, whose sum is σ = 2146828320. Its totient is φ = 165150720.

The previous prime is 613638119. The next prime is 613638167. The reversal of 613638144 is 441836316.

It is a happy number.

613638144 is a `hidden beast` number, since 6 + 1 + 3 + 638 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 613638099 and 613638108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14966764 + ... + 14966804.

It is an arithmetic number, because the mean of its divisors is an integer number (6389370).

Almost surely, 2^613638144 is an apocalyptic number.

613638144 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 613638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073414160).

613638144 is an abundant number, since it is smaller than the sum of its proper divisors (1533190176).

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

613638144 is a wasteful number, since it uses less digits than its factorization.

613638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 613638144 is about 24771.7206507743. The cubic root of 613638144 is about 849.7753242396.

The spelling of 613638144 in words is "six hundred thirteen million, six hundred thirty-eight thousand, one hundred forty-four".