613122048 has 384 divisors, whose sum is σ = 2290055040. Its totient is φ = 159252480.

The previous prime is 613121989. The next prime is 613122071. The reversal of 613122048 is 840221316.

613122048 is a `hidden beast` number, since 613 + 1 + 2 + 2 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 55738363 + ... + 55738373.

It is an arithmetic number, because the mean of its divisors is an integer number (5963685).

Almost surely, 2^613122048 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 613122048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145027520).

613122048 is an abundant number, since it is smaller than the sum of its proper divisors (1676932992).

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

613122048 is an frugal number, since it uses more digits than its factorization.

613122048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 613122048 is about 24761.3014197558. The cubic root of 613122048 is about 849.5370249214.

The spelling of 613122048 in words is "six hundred thirteen million, one hundred twenty-two thousand, forty-eight".