919966320 has 480 divisors, whose sum is σ = 4008076800. Its totient is φ = 183638016.

The previous prime is 919966303. The next prime is 919966321. The reversal of 919966320 is 23669919.

It is a happy number.

919966320 is a `hidden beast` number, since 9 + 1 + 9 + 9 + 6 + 632 + 0 = 666.

919966320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (919966321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244511 + ... + 1245249.

It is an arithmetic number, because the mean of its divisors is an integer number (8350160).

Almost surely, 2^919966320 is an apocalyptic number.

919966320 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 919966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004038400).

919966320 is an abundant number, since it is smaller than the sum of its proper divisors (3088110480).

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

919966320 is a wasteful number, since it uses less digits than its factorization.

919966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 919966320 is about 30330.9465727662. The cubic root of 919966320 is about 972.5769576712.

The spelling of 919966320 in words is "nine hundred nineteen million, nine hundred sixty-six thousand, three hundred twenty".