10662120 has 96 divisors (see below), whose sum is σ = 39611520. Its totient is φ = 2436480.

The previous prime is 10662089. The next prime is 10662131. The reversal of 10662120 is 2126601.

It is a happy number.

10662120 is a `hidden beast` number, since 1 + 0 + 662 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×10662120² = 227361605788800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10662093 and 10662102.

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, 405 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (412620).

Almost surely, 2^10662120 is an apocalyptic number.

10662120 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 10662120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805760).

10662120 is an abundant number, since it is smaller than the sum of its proper divisors (28949400).

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

10662120 is a wasteful number, since it uses less digits than its factorization.

10662120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10662120 is about 3265.2901861856. The cubic root of 10662120 is about 220.0972022260.

Adding to 10662120 its reverse (2126601), we get a palindrome (12788721).

It can be divided in two parts, 106 and 62120, that added together give a palindrome (62226).

The spelling of 10662120 in words is "ten million, six hundred sixty-two thousand, one hundred twenty".