122768664 has 64 divisors (see below), whose sum is σ = 328976640. Its totient is φ = 38079360.

The previous prime is 122768621. The next prime is 122768669. The reversal of 122768664 is 466867221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122768669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17419 + ... + 23429.

It is an arithmetic number, because the mean of its divisors is an integer number (5140260).

Almost surely, 2^122768664 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 122768664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164488320).

122768664 is an abundant number, since it is smaller than the sum of its proper divisors (206207976).

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

122768664 is a wasteful number, since it uses less digits than its factorization.

122768664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080 (or 6076 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 122768664 is about 11080.1021655940. The cubic root of 122768664 is about 497.0070050441.

The spelling of 122768664 in words is "one hundred twenty-two million, seven hundred sixty-eight thousand, six hundred sixty-four".