24106096 has 80 divisors (see below), whose sum is σ = 56567808. Its totient is φ = 9734400.

The previous prime is 24106067. The next prime is 24106097. The reversal of 24106096 is 69060142.

24106096 is a nontrivial binomial coefficient, being equal to C(6944, 2).

It is a super-2 number, since 2×24106096² = 1162207728722432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24106097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183951 + ... + 184081.

Almost surely, 2^24106096 is an apocalyptic number.

24106096 is the 6943-rd triangular number and also the 3472-nd hexagonal number.

24106096 is the 2315-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24106096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28283904).

24106096 is an abundant number, since it is smaller than the sum of its proper divisors (32461712).

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

24106096 is a wasteful number, since it uses less digits than its factorization.

24106096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 24106096 is about 4909.7959224391. The cubic root of 24106096 is about 288.8743362382.

The spelling of 24106096 in words is "twenty-four million, one hundred six thousand, ninety-six".