64900 has 36 divisors (see below), whose sum is σ = 156240. Its totient is φ = 23200.

The previous prime is 64891. The next prime is 64901. The reversal of 64900 is 946.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64901) by changing a digit.

64900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1071 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (4340).

2⁶⁴⁹⁰⁰ 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 64900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120).

64900 is an abundant number, since it is smaller than the sum of its proper divisors (91340).

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

64900 is a wasteful number, since it uses less digits than its factorization.

64900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 64900 is about 254.7547840571. The cubic root of 64900 is about 40.1866278965.

It can be divided in two parts, 64 and 900, that multiplied together give a square (57600 = 240²).

The spelling of 64900 in words is "sixty-four thousand, nine hundred".