11424672 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 3262464.

The previous prime is 11424661. The next prime is 11424703. The reversal of 11424672 is 27642411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5104 + ... + 6992.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^11424672 is an apocalyptic number.

11424672 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 11424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

11424672 is an abundant number, since it is smaller than the sum of its proper divisors (26677728).

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

11424672 is a wasteful number, since it uses less digits than its factorization.

11424672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1901 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11424672 is about 3380.0402364469. The cubic root of 11424672 is about 225.2239547894.

The spelling of 11424672 in words is "eleven million, four hundred twenty-four thousand, six hundred seventy-two".