11675664 has 280 divisors, whose sum is σ = 45538752. Its totient is φ = 2799360.

The previous prime is 11675663. The next prime is 11675681. The reversal of 11675664 is 46657611.

It is a super-2 number, since 2×11675664² = 272642259681792, which contains 22 as substring.

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

Its product of digits (30240) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (11675663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 898122 + ... + 898134.

Almost surely, 2^11675664 is an apocalyptic number.

11675664 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 11675664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22769376).

11675664 is an abundant number, since it is smaller than the sum of its proper divisors (33863088).

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

11675664 is a wasteful number, since it uses less digits than its factorization.

11675664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 11675664 is about 3416.9670762242. The cubic root of 11675664 is about 226.8613590596.

The spelling of 11675664 in words is "eleven million, six hundred seventy-five thousand, six hundred sixty-four".