11486772 has 90 divisors (see below), whose sum is σ = 33119394. Its totient is φ = 3468960.

The previous prime is 11486759. The next prime is 11486777. The reversal of 11486772 is 27768411.

11486772 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11329956 + 156816 = 3366^2 + 396^2 .

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 (11486777) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39058 + ... + 39350.

Almost surely, 2^11486772 is an apocalyptic number.

11486772 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 11486772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559697).

11486772 is an abundant number, since it is smaller than the sum of its proper divisors (21632622).

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

11486772 is a wasteful number, since it uses less digits than its factorization.

11486772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 309 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11486772 is about 3389.2140681875. The cubic root of 11486772 is about 225.6312937576.

The spelling of 11486772 in words is "eleven million, four hundred eighty-six thousand, seven hundred seventy-two".