64500 has 48 divisors (see below), whose sum is σ = 192192. Its totient is φ = 16800.

The previous prime is 64499. The next prime is 64513. The reversal of 64500 is 546.

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 64500.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64500.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1479 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2⁶⁴⁵⁰⁰ is an apocalyptic number.

64500 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 64500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96096).

64500 is an abundant number, since it is smaller than the sum of its proper divisors (127692).

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

64500 is a wasteful number, since it uses less digits than its factorization.

64500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 64500 is about 253.9685019840. The cubic root of 64500 is about 40.1038965706.

Adding to 64500 its product of nonzero digits (120), we get a triangular number (64620 = T₃₅₉).

It can be divided in two parts, 6 and 4500, that multiplied together give a cube (27000 = 30³).

The spelling of 64500 in words is "sixty-four thousand, five hundred".