64052120 has 64 divisors (see below), whose sum is σ = 158436000. Its totient is φ = 23111680.

The previous prime is 64052119. The next prime is 64052123. The reversal of 64052120 is 2125046.

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 = 64052092 and 64052101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64052123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65072 + ... + 66048.

Almost surely, 2^64052120 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 64052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79218000).

64052120 is an abundant number, since it is smaller than the sum of its proper divisors (94383880).

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

64052120 is a wasteful number, since it uses less digits than its factorization.

64052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 64052120 is about 8003.2568370633. The cubic root of 64052120 is about 400.1085538708.

Adding to 64052120 its reverse (2125046), we get a palindrome (66177166).

The spelling of 64052120 in words is "sixty-four million, fifty-two thousand, one hundred twenty".