11648952 has 96 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3209472.

The previous prime is 11648951. The next prime is 11649007. The reversal of 11648952 is 25984611.

11648952 is a `hidden beast` number, since 1 + 1 + 648 + 9 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11648951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14218 + ... + 15014.

It is an arithmetic number, because the mean of its divisors is an integer number (389025).

It is a vampire number, since it can be written as 1218 ⋅ 9564 (with its own digits).

Almost surely, 2^11648952 is an apocalyptic number.

11648952 is a gapful number since it is divisible by the number (12) 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 11648952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

11648952 is an abundant number, since it is smaller than the sum of its proper divisors (25697448).

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

11648952 is a wasteful number, since it uses less digits than its factorization.

11648952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 838 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11648952 is about 3413.0561085338. The cubic root of 11648952 is about 226.6882197883.

The spelling of 11648952 in words is "eleven million, six hundred forty-eight thousand, nine hundred fifty-two".