64130000 has 150 divisors (see below), whose sum is σ = 173883402. Its totient is φ = 22880000.

The previous prime is 64129987. The next prime is 64130021. The reversal of 64130000 is 3146.

64130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 18215824 + 45914176 = 4268^2 + 6776^2 .

It is a super-2 number, since 2×64130000² = 8225313800000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209974 + ... + 1210026.

Almost surely, 2^64130000 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 64130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86941701).

64130000 is an abundant number, since it is smaller than the sum of its proper divisors (109753402).

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

64130000 is a wasteful number, since it uses less digits than its factorization.

64130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 64130000 is about 8008.1208782086. The cubic root of 64130000 is about 400.2706501633.

Adding to 64130000 its reverse (3146), we get a palindrome (64133146).

The spelling of 64130000 in words is "sixty-four million, one hundred thirty thousand".