10984560 has 80 divisors (see below), whose sum is σ = 35000736. Its totient is φ = 2847744.

The previous prime is 10984559. The next prime is 10984573. The reversal of 10984560 is 6548901.

10984560 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8262 + ... + 9498.

Almost surely, 2^10984560 is an apocalyptic number.

10984560 is a gapful number since it is divisible by the number (10) 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 10984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17500368).

10984560 is an abundant number, since it is smaller than the sum of its proper divisors (24016176).

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

10984560 is a wasteful number, since it uses less digits than its factorization.

10984560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 10984560 is about 3314.2963054018. The cubic root of 10984560 is about 222.2939050228.

The spelling of 10984560 in words is "ten million, nine hundred eighty-four thousand, five hundred sixty".