64116 has 36 divisors (see below), whose sum is σ = 175812. Its totient is φ = 19584.

The previous prime is 64109. The next prime is 64123. The reversal of 64116 is 61146.

It is an interprime number because it is at equal distance from previous prime (64109) and next prime (64123).

It can be written as a sum of positive squares in 2 ways, for example, as 22500 + 41616 = 150^2 + 204^2 .

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

It is a super-2 number, since 2×64116² = 8221722912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64116.

It is an unprimeable number.

64116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 400 + ... + 536.

2⁶⁴¹¹⁶ 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 64116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87906).

64116 is an abundant number, since it is smaller than the sum of its proper divisors (111696).

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

64116 is a wasteful number, since it uses less digits than its factorization.

64116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 64116 is about 253.2113741521. The cubic root of 64116 is about 40.0241520807.

The spelling of 64116 in words is "sixty-four thousand, one hundred sixteen".