926820000 has 360 divisors, whose sum is σ = 3479636160. Its totient is φ = 233280000.

The previous prime is 926819941. The next prime is 926820001. The reversal of 926820000 is 28629.

926820000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (926820001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419865 + ... + 3420135.

It is an arithmetic number, because the mean of its divisors is an integer number (9665656).

Almost surely, 2^926820000 is an apocalyptic number.

926820000 is a gapful number since it is divisible by the number (90) 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 926820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739818080).

926820000 is an abundant number, since it is smaller than the sum of its proper divisors (2552816160).

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

926820000 is a wasteful number, since it uses less digits than its factorization.

926820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 926820000 is about 30443.7185639337. The cubic root of 926820000 is about 974.9861930984.

Adding to 926820000 its reverse (28629), we get a palindrome (926848629).

The spelling of 926820000 in words is "nine hundred twenty-six million, eight hundred twenty thousand".