11652768 has 48 divisors (see below), whose sum is σ = 33989760. Its totient is φ = 3883968.

The previous prime is 11652763. The next prime is 11652791. The reversal of 11652768 is 86725611.

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

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 (11652763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5880 + ... + 7607.

It is an arithmetic number, because the mean of its divisors is an integer number (708120).

Almost surely, 2^11652768 is an apocalyptic number.

11652768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11652768 is an abundant number, since it is smaller than the sum of its proper divisors (22336992).

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

11652768 is a wasteful number, since it uses less digits than its factorization.

11652768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13492 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11652768 is about 3413.6150925375. The cubic root of 11652768 is about 226.7129701637.

The spelling of 11652768 in words is "eleven million, six hundred fifty-two thousand, seven hundred sixty-eight".