8981920 has 48 divisors (see below), whose sum is σ = 21538440. Its totient is φ = 3538944.

The previous prime is 8981897. The next prime is 8981923. The reversal of 8981920 is 291898.

It can be written as a sum of positive squares in 4 ways, for example, as 7033104 + 1948816 = 2652^2 + 1396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8981920.

It is not an unprimeable number, because it can be changed into a prime (8981923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11296 + ... + 12064.

Almost surely, 2^8981920 is an apocalyptic number.

8981920 is a gapful number since it is divisible by the number (80) 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 8981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10769220).

8981920 is an abundant number, since it is smaller than the sum of its proper divisors (12556520).

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

8981920 is a wasteful number, since it uses less digits than its factorization.

8981920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 8981920 is about 2996.9851517817. The cubic root of 8981920 is about 207.8690003532.

The spelling of 8981920 in words is "eight million, nine hundred eighty-one thousand, nine hundred twenty".