24789216 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 7755264.

The previous prime is 24789197. The next prime is 24789227. The reversal of 24789216 is 61298742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24789216² = 1229010459789312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227370 + ... + 227478.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^24789216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24789216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

24789216 is an abundant number, since it is smaller than the sum of its proper divisors (44399904).

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

24789216 is a wasteful number, since it uses less digits than its factorization.

24789216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 24789216 is about 4978.8769818103. The cubic root of 24789216 is about 291.5776718233.

The spelling of 24789216 in words is "twenty-four million, seven hundred eighty-nine thousand, two hundred sixteen".