64020800 has 42 divisors (see below), whose sum is σ = 157535118. Its totient is φ = 25607680.

The previous prime is 64020787. The next prime is 64020809. The reversal of 64020800 is 802046.

It can be written as a sum of positive squares in 3 ways, for example, as 2930944 + 61089856 = 1712^2 + 7816^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64020809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18407 + ... + 21606.

Almost surely, 2^64020800 is an apocalyptic number.

It is an amenable number.

64020800 is an abundant number, since it is smaller than the sum of its proper divisors (93514318).

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

64020800 is a wasteful number, since it uses less digits than its factorization.

64020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40035 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 64020800 is about 8001.2998943922. The cubic root of 64020800 is about 400.0433286397.

Adding to 64020800 its reverse (802046), we get a palindrome (64822846).

The spelling of 64020800 in words is "sixty-four million, twenty thousand, eight hundred".