919540960 has 144 divisors (see below), whose sum is σ = 2398588416. Its totient is φ = 331140096.

The previous prime is 919540957. The next prime is 919541009. The reversal of 919540960 is 69045919.

919540960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7240417 + ... + 7240543.

It is an arithmetic number, because the mean of its divisors is an integer number (16656864).

Almost surely, 2^919540960 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 919540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199294208).

919540960 is an abundant number, since it is smaller than the sum of its proper divisors (1479047456).

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

919540960 is a wasteful number, since it uses less digits than its factorization.

919540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The square root of 919540960 is about 30323.9337817507. The cubic root of 919540960 is about 972.4270394617.

The spelling of 919540960 in words is "nine hundred nineteen million, five hundred forty thousand, nine hundred sixty".