922416768 has 384 divisors, whose sum is σ = 3418632000. Its totient is φ = 242694144.

The previous prime is 922416763. The next prime is 922416773. The reversal of 922416768 is 867614229.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (922416763) and next prime (922416773).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (922416763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2201263 + ... + 2201681.

Almost surely, 2^922416768 is an apocalyptic number.

922416768 is a gapful number since it is divisible by the number (98) 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 922416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709316000).

922416768 is an abundant number, since it is smaller than the sum of its proper divisors (2496215232).

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

922416768 is a wasteful number, since it uses less digits than its factorization.

922416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 444 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 922416768 is about 30371.3148875711. The cubic root of 922416768 is about 973.4397198199.

The spelling of 922416768 in words is "nine hundred twenty-two million, four hundred sixteen thousand, seven hundred sixty-eight".