10986690 has 96 divisors (see below), whose sum is σ = 31306176. Its totient is φ = 2446080.

The previous prime is 10986683. The next prime is 10986691. The reversal of 10986690 is 9668901.

It is a super-2 number, since 2×10986690² = 241414714312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (10986691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55672 + ... + 55868.

It is an arithmetic number, because the mean of its divisors is an integer number (326106).

Almost surely, 2^10986690 is an apocalyptic number.

10986690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10986690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653088).

10986690 is an abundant number, since it is smaller than the sum of its proper divisors (20319486).

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

10986690 is a wasteful number, since it uses less digits than its factorization.

10986690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 10986690 is about 3314.6176250059. The cubic root of 10986690 is about 222.3082723231.

The spelling of 10986690 in words is "ten million, nine hundred eighty-six thousand, six hundred ninety".