612829668 has 192 divisors, whose sum is σ = 1738388736. Its totient is φ = 167270400.

The previous prime is 612829661. The next prime is 612829673. The reversal of 612829668 is 866928216.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612829661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10046358 + ... + 10046418.

It is an arithmetic number, because the mean of its divisors is an integer number (9054108).

Almost surely, 2^612829668 is an apocalyptic number.

612829668 is a gapful number since it is divisible by the number (68) 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 612829668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869194368).

612829668 is an abundant number, since it is smaller than the sum of its proper divisors (1125559068).

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

612829668 is a wasteful number, since it uses less digits than its factorization.

612829668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 131 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 612829668 is about 24755.3967449524. The cubic root of 612829668 is about 849.4019636507.

The spelling of 612829668 in words is "six hundred twelve million, eight hundred twenty-nine thousand, six hundred sixty-eight".