11464992 has 216 divisors, whose sum is σ = 41827968. Its totient is φ = 2914560.

The previous prime is 11464979. The next prime is 11464993. The reversal of 11464992 is 29946411.

It is a happy number.

11464992 is a `hidden beast` number, since 1 + 1 + 4 + 649 + 9 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11464993) 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 35 ways as a sum of consecutive naturals, for example, 243913 + ... + 243959.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 2^11464992 is an apocalyptic number.

11464992 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 11464992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

11464992 is an abundant number, since it is smaller than the sum of its proper divisors (30362976).

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

11464992 is a wasteful number, since it uses less digits than its factorization.

11464992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11464992 is about 3385.9994093325. Note that the first 3 decimals coincide. The cubic root of 11464992 is about 225.4885974801.

The spelling of 11464992 in words is "eleven million, four hundred sixty-four thousand, nine hundred ninety-two".