906920000 has 280 divisors, whose sum is σ = 2666146560. Its totient is φ = 299520000.

The previous prime is 906919967. The next prime is 906920011. The reversal of 906920000 is 29609.

It is a tau number, because it is divible by the number of its divisors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11479961 + ... + 11480039.

It is an arithmetic number, because the mean of its divisors is an integer number (9521952).

Almost surely, 2^906920000 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 906920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333073280).

906920000 is an abundant number, since it is smaller than the sum of its proper divisors (1759226560).

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

906920000 is an equidigital number, since it uses as much as digits as its factorization.

906920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 906920000 is about 30115.1124852623. The cubic root of 906920000 is about 967.9575830058.

Adding to 906920000 its reverse (29609), we get a palindrome (906949609).

The spelling of 906920000 in words is "nine hundred six million, nine hundred twenty thousand".