24981216 has 96 divisors (see below), whose sum is σ = 72662688. Its totient is φ = 7464960.

The previous prime is 24981169. The next prime is 24981241. The reversal of 24981216 is 61218942.

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

It is a super-2 number, since 2×24981216² = 1248122305677312, 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, 45906 + ... + 46446.

It is an arithmetic number, because the mean of its divisors is an integer number (756903).

Almost surely, 2^24981216 is an apocalyptic number.

24981216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

24981216 is the 2886-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24981216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36331344).

24981216 is an abundant number, since it is smaller than the sum of its proper divisors (47681472).

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

24981216 is a wasteful number, since it uses less digits than its factorization.

24981216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 24981216 is about 4998.1212470287. The cubic root of 24981216 is about 292.3285224733.

The spelling of 24981216 in words is "twenty-four million, nine hundred eighty-one thousand, two hundred sixteen".