10662080 has 112 divisors (see below), whose sum is σ = 29955744. Its totient is φ = 3563520.

The previous prime is 10662079. The next prime is 10662083. The reversal of 10662080 is 8026601.

It is a super-2 number, since 2×10662080² = 227359899852800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10662083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45644 + ... + 45876.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^10662080 is an apocalyptic number.

10662080 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 10662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14977872).

10662080 is an abundant number, since it is smaller than the sum of its proper divisors (19293664).

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

10662080 is a wasteful number, since it uses less digits than its factorization.

10662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 10662080 is about 3265.2840611500. The cubic root of 10662080 is about 220.0969269869.

Adding to 10662080 its reverse (8026601), we get a palindrome (18688681).

The spelling of 10662080 in words is "ten million, six hundred sixty-two thousand, eighty".