64080000 has 240 divisors, whose sum is σ = 233011350. Its totient is φ = 16896000.

The previous prime is 64079993. The next prime is 64080013. The reversal of 64080000 is 8046.

It can be written as a sum of positive squares in 5 ways, for example, as 207936 + 63872064 = 456^2 + 7992^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719956 + ... + 720044.

Almost surely, 2^64080000 is an apocalyptic number.

64080000 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 64080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116505675).

64080000 is an abundant number, since it is smaller than the sum of its proper divisors (168931350).

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

64080000 is an equidigital number, since it uses as much as digits as its factorization.

64080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64080000 is about 8004.9984384758. The cubic root of 64080000 is about 400.1665972704.

Adding to 64080000 its reverse (8046), we get a palindrome (64088046).

The spelling of 64080000 in words is "sixty-four million, eighty thousand".