10665600 has 192 divisors, whose sum is σ = 38702880. Its totient is φ = 2560000.

The previous prime is 10665563. The next prime is 10665619. The reversal of 10665600 is 656601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10665600² = 227510046720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105550 + ... + 105650.

Almost surely, 2^10665600 is an apocalyptic number.

10665600 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 10665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19351440).

10665600 is an abundant number, since it is smaller than the sum of its proper divisors (28037280).

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

10665600 is a wasteful number, since it uses less digits than its factorization.

10665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 10665600 is about 3265.8230203120. The cubic root of 10665600 is about 220.1211453989.

It can be divided in two parts, 1066 and 5600, that added together give a palindrome (6666).

The spelling of 10665600 in words is "ten million, six hundred sixty-five thousand, six hundred".