64254000 has 80 divisors (see below), whose sum is σ = 207174240. Its totient is φ = 17132800.

The previous prime is 64253989. The next prime is 64254007. The reversal of 64254000 is 45246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (64254007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646 + ... + 11354.

It is an arithmetic number, because the mean of its divisors is an integer number (2589678).

Almost surely, 2^64254000 is an apocalyptic number.

64254000 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 64254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103587120).

64254000 is an abundant number, since it is smaller than the sum of its proper divisors (142920240).

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

64254000 is a wasteful number, since it uses less digits than its factorization.

64254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 64254000 is about 8015.8592802020. The cubic root of 64254000 is about 400.5284681627.

Adding to 64254000 its reverse (45246), we get a palindrome (64299246).

The spelling of 64254000 in words is "sixty-four million, two hundred fifty-four thousand".