8111664 has 100 divisors (see below), whose sum is σ = 25656840. Its totient is φ = 2453760.

The previous prime is 8111659. The next prime is 8111681. The reversal of 8111664 is 4661118.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13972 + ... + 14540.

Almost surely, 2^8111664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12828420).

8111664 is an abundant number, since it is smaller than the sum of its proper divisors (17545176).

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

8111664 is a wasteful number, since it uses less digits than its factorization.

8111664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 585 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 8111664 is about 2848.0983129099. The cubic root of 8111664 is about 200.9262371352.

It can be divided in two parts, 81 and 11664, that multiplied together give a square (944784 = 972²).

The spelling of 8111664 in words is "eight million, one hundred eleven thousand, six hundred sixty-four".