11681010 has 192 divisors, whose sum is σ = 37739520. Its totient is φ = 2566080.

The previous prime is 11680969. The next prime is 11681039. The reversal of 11681010 is 1018611.

11681010 = 112² + 113² + ... + 331².

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507859 + ... + 507881.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^11681010 is an apocalyptic number.

11681010 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 11681010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11681010 is an abundant number, since it is smaller than the sum of its proper divisors (26058510).

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

11681010 is a wasteful number, since it uses less digits than its factorization.

11681010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11681010 is about 3417.7492593811. The cubic root of 11681010 is about 226.8959785259.

Adding to 11681010 its reverse (1018611), we get a palindrome (12699621).

The spelling of 11681010 in words is "eleven million, six hundred eighty-one thousand, ten".