11662000 has 160 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 3763200.

The previous prime is 11661971. The next prime is 11662003. The reversal of 11662000 is 26611.

11662000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

11662000 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (11662003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685992 + ... + 686008.

It is an arithmetic number, because the mean of its divisors is an integer number (217620).

Almost surely, 2^11662000 is an apocalyptic number.

11662000 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 11662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

11662000 is an abundant number, since it is smaller than the sum of its proper divisors (23157200).

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

11662000 is an equidigital number, since it uses as much as digits as its factorization.

11662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11662000 is about 3414.9670569421. The cubic root of 11662000 is about 226.7728260894.

Adding to 11662000 its reverse (26611), we get a palindrome (11688611).

The spelling of 11662000 in words is "eleven million, six hundred sixty-two thousand".