24790896 has 240 divisors, whose sum is σ = 85307040. Its totient is φ = 6635520.

The previous prime is 24790891. The next prime is 24790903. The reversal of 24790896 is 69809742.

It is a happy number.

It is a super-2 number, since 2×24790896² = 1229177048965632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24790891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 604636 + ... + 604676.

It is an arithmetic number, because the mean of its divisors is an integer number (355446).

Almost surely, 2^24790896 is an apocalyptic number.

24790896 is a gapful number since it is divisible by the number (26) 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 24790896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

24790896 is an abundant number, since it is smaller than the sum of its proper divisors (60516144).

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

24790896 is a wasteful number, since it uses less digits than its factorization.

24790896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 24790896 is about 4979.0456916964. The cubic root of 24790896 is about 291.5842585506.

It can be divided in two parts, 247908 and 96, that added together give a square (248004 = 498²).

The spelling of 24790896 in words is "twenty-four million, seven hundred ninety thousand, eight hundred ninety-six".