921090240 has 504 divisors, whose sum is σ = 3780842832. Its totient is φ = 205148160.

The previous prime is 921090239. The next prime is 921090251. The reversal of 921090240 is 42090129.

921090240 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 (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8608267 + ... + 8608373.

Almost surely, 2^921090240 is an apocalyptic number.

921090240 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 921090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890421416).

921090240 is an abundant number, since it is smaller than the sum of its proper divisors (2859752592).

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

921090240 is a wasteful number, since it uses less digits than its factorization.

921090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 921090240 is about 30349.4685291193. The cubic root of 921090240 is about 972.9728612412.

The spelling of 921090240 in words is "nine hundred twenty-one million, ninety thousand, two hundred forty".