23838672 has 160 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 6336000.

The previous prime is 23838653. The next prime is 23838691. The reversal of 23838672 is 27683832.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23838653) and next prime (23838691).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 23838672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157797 + ... + 157947.

Almost surely, 2^23838672 is an apocalyptic number.

23838672 is a gapful number since it is divisible by the number (22) 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 23838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

23838672 is an abundant number, since it is smaller than the sum of its proper divisors (52156464).

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

23838672 is a wasteful number, since it uses less digits than its factorization.

23838672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 23838672 is about 4882.4862519008. The cubic root of 23838672 is about 287.8021403336.

The spelling of 23838672 in words is "twenty-three million, eight hundred thirty-eight thousand, six hundred seventy-two".