9951216 has 80 divisors (see below), whose sum is σ = 28712448. Its totient is φ = 2944000.

The previous prime is 9951211. The next prime is 9951229. The reversal of 9951216 is 6121599.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24616 + ... + 25016.

Almost surely, 2^9951216 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 9951216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356224).

9951216 is an abundant number, since it is smaller than the sum of its proper divisors (18761232).

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

9951216 is a wasteful number, since it uses less digits than its factorization.

9951216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 9951216 is about 3154.5548021868. The cubic root of 9951216 is about 215.0925579485.

It can be divided in two parts, 995 and 1216, that added together give a triangular number (2211 = T₆₆).

The spelling of 9951216 in words is "nine million, nine hundred fifty-one thousand, two hundred sixteen".