612823008 has 192 divisors, whose sum is σ = 1930521600. Its totient is φ = 170021376.

The previous prime is 612822949. The next prime is 612823009. The reversal of 612823008 is 800328216.

612823008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612823009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218085 + ... + 1218587.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^612823008 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 612823008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

612823008 is an abundant number, since it is smaller than the sum of its proper divisors (1317698592).

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

612823008 is a wasteful number, since it uses less digits than its factorization.

612823008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 612823008 is about 24755.2622284637. The cubic root of 612823008 is about 849.3988866469.

The spelling of 612823008 in words is "six hundred twelve million, eight hundred twenty-three thousand, eight".