64002120 has 128 divisors (see below), whose sum is σ = 236355840. Its totient is φ = 13501440.

The previous prime is 64002091. The next prime is 64002121. The reversal of 64002120 is 2120046.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 64002120.

It is not an unprimeable number, because it can be changed into a prime (64002121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (1846530).

Almost surely, 2^64002120 is an apocalyptic number.

64002120 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 64002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118177920).

64002120 is an abundant number, since it is smaller than the sum of its proper divisors (172353720).

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

64002120 is a wasteful number, since it uses less digits than its factorization.

64002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 64002120 is about 8000.1324989028. The cubic root of 64002120 is about 400.0044166179.

Adding to 64002120 its reverse (2120046), we get a palindrome (66122166).

The spelling of 64002120 in words is "sixty-four million, two thousand, one hundred twenty".