9613824 has 80 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 2908160.

The previous prime is 9613817. The next prime is 9613831. The reversal of 9613824 is 4283169.

It is an interprime number because it is at equal distance from previous prime (9613817) and next prime (9613831).

It is a super-2 number, since 2×9613824² = 184851223805952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16612 + ... + 17180.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 2^9613824 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 9613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

9613824 is an abundant number, since it is smaller than the sum of its proper divisors (18375456).

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

9613824 is a wasteful number, since it uses less digits than its factorization.

9613824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 9613824 is about 3100.6167128492. The cubic root of 9613824 is about 212.6336801310.

It can be divided in two parts, 96 and 13824, that multiplied together give a square (1327104 = 1152²).

The spelling of 9613824 in words is "nine million, six hundred thirteen thousand, eight hundred twenty-four".