8919960 has 192 divisors, whose sum is σ = 32749920. Its totient is φ = 1935360.

The previous prime is 8919959. The next prime is 8919979. The reversal of 8919960 is 699198.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217540 + ... + 217580.

Almost surely, 2^8919960 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 8919960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374960).

8919960 is an abundant number, since it is smaller than the sum of its proper divisors (23829960).

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

8919960 is a wasteful number, since it uses less digits than its factorization.

8919960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 8919960 is about 2986.6302081108. The cubic root of 8919960 is about 207.3899159632.

The spelling of 8919960 in words is "eight million, nine hundred nineteen thousand, nine hundred sixty".