9651264 has 112 divisors (see below), whose sum is σ = 30041088. Its totient is φ = 2677248.

The previous prime is 9651253. The next prime is 9651269. The reversal of 9651264 is 4621569.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9651269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 57709 + ... + 57875.

It is an arithmetic number, because the mean of its divisors is an integer number (268224).

Almost surely, 2^9651264 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 9651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020544).

9651264 is an abundant number, since it is smaller than the sum of its proper divisors (20389824).

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

9651264 is a wasteful number, since it uses less digits than its factorization.

9651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 9651264 is about 3106.6483547386. The cubic root of 9651264 is about 212.9093488923.

It can be divided in two parts, 96 and 51264, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 9651264 in words is "nine million, six hundred fifty-one thousand, two hundred sixty-four".