11801952 has 72 divisors (see below), whose sum is σ = 34378344. Its totient is φ = 3838464.

The previous prime is 11801941. The next prime is 11801969. The reversal of 11801952 is 25910811.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11908 + ... + 12860.

It is an arithmetic number, because the mean of its divisors is an integer number (477477).

Almost surely, 2^11801952 is an apocalyptic number.

11801952 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 11801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17189172).

11801952 is an abundant number, since it is smaller than the sum of its proper divisors (22576392).

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

11801952 is a wasteful number, since it uses less digits than its factorization.

11801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11801952 is about 3435.3969202990. The cubic root of 11801952 is about 227.6763644696.

The spelling of 11801952 in words is "eleven million, eight hundred one thousand, nine hundred fifty-two".