10971648 has 60 divisors (see below), whose sum is σ = 31678218. Its totient is φ = 3655680.

The previous prime is 10971637. The next prime is 10971659. The reversal of 10971648 is 84617901.

10971648 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (10971637) and next prime (10971659).

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 2304 = 3312^2 + 48^2 .

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 5 ways as a sum of consecutive naturals, for example, 3418 + ... + 5798.

Almost surely, 2^10971648 is an apocalyptic number.

10971648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10971648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839109).

10971648 is an abundant number, since it is smaller than the sum of its proper divisors (20706570).

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

10971648 is an equidigital number, since it uses as much as digits as its factorization.

10971648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10971648 is about 3312.3478078245. The cubic root of 10971648 is about 222.2067710739.

The spelling of 10971648 in words is "ten million, nine hundred seventy-one thousand, six hundred forty-eight".