64016120 has 64 divisors (see below), whose sum is σ = 166380480. Its totient is φ = 21712896.

The previous prime is 64016119. The next prime is 64016143. The reversal of 64016120 is 2161046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 64016092 and 64016101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25982 + ... + 28338.

It is an arithmetic number, because the mean of its divisors is an integer number (2599695).

Almost surely, 2^64016120 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 64016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190240).

64016120 is an abundant number, since it is smaller than the sum of its proper divisors (102364360).

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

64016120 is a wasteful number, since it uses less digits than its factorization.

64016120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 64016120 is about 8001.0074365670. The cubic root of 64016120 is about 400.0335805141.

Adding to 64016120 its reverse (2161046), we get a palindrome (66177166).

It can be divided in two parts, 6401 and 6120, that added together give a palindrome (12521).

The spelling of 64016120 in words is "sixty-four million, sixteen thousand, one hundred twenty".