23141664 has 144 divisors (see below), whose sum is σ = 81087552. Its totient is φ = 6096384.

The previous prime is 23141663. The next prime is 23141689. The reversal of 23141664 is 46614132.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×23141664² = 1071073225377792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23141663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25767 + ... + 26649.

It is an arithmetic number, because the mean of its divisors is an integer number (563108).

Almost surely, 2^23141664 is an apocalyptic number.

23141664 is a gapful number since it is divisible by the number (24) 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 23141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40543776).

23141664 is an abundant number, since it is smaller than the sum of its proper divisors (57945888).

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

23141664 is a wasteful number, since it uses less digits than its factorization.

23141664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23141664 is about 4810.5783436090. The cubic root of 23141664 is about 284.9693780580.

Adding to 23141664 its reverse (46614132), we get a palindrome (69755796).

The spelling of 23141664 in words is "twenty-three million, one hundred forty-one thousand, six hundred sixty-four".