64416 has 48 divisors (see below), whose sum is σ = 187488. Its totient is φ = 19200.

The previous prime is 64403. The next prime is 64433. The reversal of 64416 is 61446.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 11 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 64392 and 64401.

It is an unprimeable number.

64416 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 7 ways as a sum of consecutive naturals, for example, 1026 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2⁶⁴⁴¹⁶ is an apocalyptic number.

64416 is a gapful number since it is divisible by the number (66) 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 64416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

64416 is an abundant number, since it is smaller than the sum of its proper divisors (123072).

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

64416 is a wasteful number, since it uses less digits than its factorization.

64416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 64416 is about 253.8030732674. The cubic root of 64416 is about 40.0864795641.

The spelling of 64416 in words is "sixty-four thousand, four hundred sixteen".