64208500 has 48 divisors (see below), whose sum is σ = 141038352. Its totient is φ = 25536000.

The previous prime is 64208497. The next prime is 64208519. The reversal of 64208500 is 580246.

It can be written as a sum of positive squares in 8 ways, for example, as 6022116 + 58186384 = 2454^2 + 7628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140272 + ... + 140728.

It is an arithmetic number, because the mean of its divisors is an integer number (2938299).

Almost surely, 2^64208500 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 64208500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70519176).

64208500 is an abundant number, since it is smaller than the sum of its proper divisors (76829852).

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

64208500 is a wasteful number, since it uses less digits than its factorization.

64208500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 64208500 is about 8013.0206539107. The cubic root of 64208500 is about 400.4339041478.

Adding to 64208500 its reverse (580246), we get a palindrome (64788746).

The spelling of 64208500 in words is "sixty-four million, two hundred eight thousand, five hundred".