9951264 has 72 divisors (see below), whose sum is σ = 28648620. Its totient is φ = 3276288.

The previous prime is 9951257. The next prime is 9951281. The reversal of 9951264 is 4621599.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 291600 = 3108^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31234 + ... + 31550.

Almost surely, 2^9951264 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 9951264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14324310).

9951264 is an abundant number, since it is smaller than the sum of its proper divisors (18697356).

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

9951264 is a wasteful number, since it uses less digits than its factorization.

9951264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9951264 is about 3154.5624102243. The cubic root of 9951264 is about 215.0929037832.

The spelling of 9951264 in words is "nine million, nine hundred fifty-one thousand, two hundred sixty-four".