23641464 has 96 divisors (see below), whose sum is σ = 74309760. Its totient is φ = 6135360.

The previous prime is 23641459. The next prime is 23641489. The reversal of 23641464 is 46414632.

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

It is a congruent number.

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, 19747 + ... + 20909.

It is an arithmetic number, because the mean of its divisors is an integer number (774060).

Almost surely, 2^23641464 is an apocalyptic number.

23641464 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 23641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37154880).

23641464 is an abundant number, since it is smaller than the sum of its proper divisors (50668296).

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

23641464 is a wasteful number, since it uses less digits than its factorization.

23641464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1186 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 23641464 is about 4862.2488624092. The cubic root of 23641464 is about 287.0063169625.

It can be divided in two parts, 2364 and 1464, that added together give a triangular number (3828 = T₈₇).

The spelling of 23641464 in words is "twenty-three million, six hundred forty-one thousand, four hundred sixty-four".