10986640 has 80 divisors (see below), whose sum is σ = 30498048. Its totient is φ = 3598848.

The previous prime is 10986637. The next prime is 10986659. The reversal of 10986640 is 4668901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10986596 and 10986605.

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, 12454 + ... + 13306.

Almost surely, 2^10986640 is an apocalyptic number.

10986640 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 10986640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249024).

10986640 is an abundant number, since it is smaller than the sum of its proper divisors (19511408).

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

10986640 is a wasteful number, since it uses less digits than its factorization.

10986640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 10986640 is about 3314.6100826492. The cubic root of 10986640 is about 222.3079350838.

The spelling of 10986640 in words is "ten million, nine hundred eighty-six thousand, six hundred forty".