11117952 has 64 divisors (see below), whose sum is σ = 32823600. Its totient is φ = 3704832.

The previous prime is 11117903. The next prime is 11117963. The reversal of 11117952 is 25971111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1848 + ... + 5064.

Almost surely, 2^11117952 is an apocalyptic number.

11117952 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 11117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16411800).

11117952 is an abundant number, since it is smaller than the sum of its proper divisors (21705648).

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

11117952 is an equidigital number, since it uses as much as digits as its factorization.

11117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3222 counting only the distinct ones).

The product of its digits is 630, while the sum is 27.

The square root of 11117952 is about 3334.3593087728. The cubic root of 11117952 is about 223.1901024632.

The spelling of 11117952 in words is "eleven million, one hundred seventeen thousand, nine hundred fifty-two".