11577672 has 36 divisors (see below), whose sum is σ = 31434585. Its totient is φ = 3849600.

The previous prime is 11577661. The next prime is 11577673. The reversal of 11577672 is 27677511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11577672 is a `hidden beast` number, since 11 + 577 + 6 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6937956 + 4639716 = 2634^2 + 2154^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2406.

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

It is not an unprimeable number, because it can be changed into a prime (11577673) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28672 + ... + 29072.

Almost surely, 2^11577672 is an apocalyptic number.

11577672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11577672 is an abundant number, since it is smaller than the sum of its proper divisors (19856913).

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

11577672 is an equidigital number, since it uses as much as digits as its factorization.

11577672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 406 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 11577672 is about 3402.5978310697. The cubic root of 11577672 is about 226.2249046777.

The spelling of 11577672 in words is "eleven million, five hundred seventy-seven thousand, six hundred seventy-two".