64441800 has 72 divisors (see below), whose sum is σ = 216423090. Its totient is φ = 17184000.

The previous prime is 64441703. The next prime is 64441829. The reversal of 64441800 is 814446.

64441800 is a `hidden beast` number, since 644 + 4 + 18 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 37380996 + 27060804 = 6114^2 + 5202^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16101 + ... + 19700.

Almost surely, 2^64441800 is an apocalyptic number.

64441800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64441800 is an abundant number, since it is smaller than the sum of its proper divisors (151981290).

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

64441800 is a wasteful number, since it uses less digits than its factorization.

64441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35823 (or 35811 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 64441800 is about 8027.5650106368. The cubic root of 64441800 is about 400.9183068347.

The spelling of 64441800 in words is "sixty-four million, four hundred forty-one thousand, eight hundred".