11074968 has 72 divisors (see below), whose sum is σ = 31294380. Its totient is φ = 3674160.

The previous prime is 11074963. The next prime is 11074969. The reversal of 11074968 is 86947011.

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

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 (11074963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52383 + ... + 52593.

Almost surely, 2^11074968 is an apocalyptic number.

11074968 is a gapful number since it is divisible by the number (18) 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 11074968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647190).

11074968 is an abundant number, since it is smaller than the sum of its proper divisors (20219412).

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

11074968 is an frugal number, since it uses more digits than its factorization.

11074968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11074968 is about 3327.9074506362. The cubic root of 11074968 is about 222.9020999750.

It can be divided in two parts, 110 and 74968, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 11074968 in words is "eleven million, seventy-four thousand, nine hundred sixty-eight".