11830752 has 48 divisors (see below), whose sum is σ = 34508880. Its totient is φ = 3943296.

The previous prime is 11830729. The next prime is 11830771. The reversal of 11830752 is 25703811.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) 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 (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, 5983 + ... + 7710.

It is an arithmetic number, because the mean of its divisors is an integer number (718935).

Almost surely, 2^11830752 is an apocalyptic number.

11830752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11830752 is an abundant number, since it is smaller than the sum of its proper divisors (22678128).

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

11830752 is a wasteful number, since it uses less digits than its factorization.

11830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13712 (or 13698 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 11830752 is about 3439.5860216020. The cubic root of 11830752 is about 227.8614116219.

The spelling of 11830752 in words is "eleven million, eight hundred thirty thousand, seven hundred fifty-two".