9952320 has 112 divisors (see below), whose sum is σ = 36137088. Its totient is φ = 2273280.

The previous prime is 9952303. The next prime is 9952337. The reversal of 9952320 is 232599.

It is an interprime number because it is at equal distance from previous prime (9952303) and next prime (9952337).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5980 + ... + 7460.

Almost surely, 2^9952320 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 9952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

9952320 is an abundant number, since it is smaller than the sum of its proper divisors (26184768).

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

9952320 is a wasteful number, since it uses less digits than its factorization.

9952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 9952320 is about 3154.7297824061. The cubic root of 9952320 is about 215.1005118643.

The spelling of 9952320 in words is "nine million, nine hundred fifty-two thousand, three hundred twenty".