11744964 has 144 divisors (see below), whose sum is σ = 39137280. Its totient is φ = 2877120.

The previous prime is 11744933. The next prime is 11744969. The reversal of 11744964 is 46944711.

11744964 = T₃₅₂ + T₃₅₃ + ... + T₄₈₄.

11744964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11744964² = 275888358722592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11744969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52557 + ... + 52779.

Almost surely, 2^11744964 is an apocalyptic number.

11744964 is a gapful number since it is divisible by the number (14) 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 11744964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568640).

11744964 is an abundant number, since it is smaller than the sum of its proper divisors (27392316).

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

11744964 is a wasteful number, since it uses less digits than its factorization.

11744964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11744964 is about 3427.0926453774. The cubic root of 11744964 is about 227.3093133053.

The spelling of 11744964 in words is "eleven million, seven hundred forty-four thousand, nine hundred sixty-four".