9951520 has 72 divisors (see below), whose sum is σ = 24749172. Its totient is φ = 3778560.

The previous prime is 9951517. The next prime is 9951523. The reversal of 9951520 is 251599.

It is an interprime number because it is at equal distance from previous prime (9951517) and next prime (9951523).

It can be written as a sum of positive squares in 6 ways, for example, as 1354896 + 8596624 = 1164^2 + 2932^2 .

It is not an unprimeable number, because it can be changed into a prime (9951523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 242700 + ... + 242740.

Almost surely, 2^9951520 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 9951520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374586).

9951520 is an abundant number, since it is smaller than the sum of its proper divisors (14797652).

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

9951520 is a wasteful number, since it uses less digits than its factorization.

9951520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 9951520 is about 3154.6029861141. The cubic root of 9951520 is about 215.0947482159.

The spelling of 9951520 in words is "nine million, nine hundred fifty-one thousand, five hundred twenty".