11779152 has 80 divisors (see below), whose sum is σ = 37949952. Its totient is φ = 3058560.

The previous prime is 11779121. The next prime is 11779153. The reversal of 11779152 is 25197711.

11779152 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

11779152 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11779153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2103 + ... + 5289.

Almost surely, 2^11779152 is an apocalyptic number.

11779152 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 11779152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974976).

11779152 is an abundant number, since it is smaller than the sum of its proper divisors (26170800).

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

11779152 is a wasteful number, since it uses less digits than its factorization.

11779152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3210 counting only the distinct ones).

The product of its digits is 4410, while the sum is 33.

The square root of 11779152 is about 3432.0769222149. The cubic root of 11779152 is about 227.5296551931.

The spelling of 11779152 in words is "eleven million, seven hundred seventy-nine thousand, one hundred fifty-two".