64111680 has 168 divisors, whose sum is σ = 223598232. Its totient is φ = 16859136.

The previous prime is 64111679. The next prime is 64111693. The reversal of 64111680 is 8611146.

64111680 is a `hidden beast` number, since 641 + 1 + 16 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6230016 + 57881664 = 2496^2 + 7608^2 .

It is a super-2 number, since 2×64111680² = 8220615024844800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325342 + ... + 325538.

Almost surely, 2^64111680 is an apocalyptic number.

64111680 is a gapful number since it is divisible by the number (60) 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 64111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111799116).

64111680 is an abundant number, since it is smaller than the sum of its proper divisors (159486552).

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

64111680 is a wasteful number, since it uses less digits than its factorization.

64111680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

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

The square root of 64111680 is about 8006.9769576289. The cubic root of 64111680 is about 400.2325314633.

It can be divided in two parts, 641 and 11680, that added together give a palindrome (12321).

The spelling of 64111680 in words is "sixty-four million, one hundred eleven thousand, six hundred eighty".