10448964 has 18 divisors (see below), whose sum is σ = 26412750. Its totient is φ = 3482976.

The previous prime is 10448951. The next prime is 10448983. The reversal of 10448964 is 46984401.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 260100 = 3192^2 + 510^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 290249 = 10448964 / (1 + 0 + 4 + 4 + 8 + 9 + 6 + 4).

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 5 ways as a sum of consecutive naturals, for example, 145089 + ... + 145160.

It is an arithmetic number, because the mean of its divisors is an integer number (1467375).

Almost surely, 2^10448964 is an apocalyptic number.

It is an amenable number.

10448964 is an abundant number, since it is smaller than the sum of its proper divisors (15963786).

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

10448964 is a wasteful number, since it uses less digits than its factorization.

10448964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290259 (or 290254 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10448964 is about 3232.4857308270. The cubic root of 10448964 is about 218.6205978615.

The spelling of 10448964 in words is "ten million, four hundred forty-eight thousand, nine hundred sixty-four".