909766368 has 144 divisors (see below), whose sum is σ = 2965618656. Its totient is φ = 259153920.

The previous prime is 909766367. The next prime is 909766387. The reversal of 909766368 is 863667909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×909766368² = 1655349688687822848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909766367) 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 23 ways as a sum of consecutive naturals, for example, 1195108 + ... + 1195868.

It is an arithmetic number, because the mean of its divisors is an integer number (20594574).

Almost surely, 2^909766368 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 909766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482809328).

909766368 is an abundant number, since it is smaller than the sum of its proper divisors (2055852288).

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

909766368 is a wasteful number, since it uses less digits than its factorization.

909766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 909766368 is about 30162.3335967229. Note that the first 3 decimals coincide. The cubic root of 909766368 is about 968.9691702627.

It can be divided in two parts, 90976 and 6368, that added together give a square (97344 = 312²).

The spelling of 909766368 in words is "nine hundred nine million, seven hundred sixty-six thousand, three hundred sixty-eight".