64827840 has 224 divisors, whose sum is σ = 256909824. Its totient is φ = 13455360.

The previous prime is 64827827. The next prime is 64827863. The reversal of 64827840 is 4872846.

64827840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73482 + ... + 74358.

Almost surely, 2^64827840 is an apocalyptic number.

64827840 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 64827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128454912).

64827840 is an abundant number, since it is smaller than the sum of its proper divisors (192081984).

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

64827840 is a wasteful number, since it uses less digits than its factorization.

64827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 64827840 is about 8051.5737592101. The cubic root of 64827840 is about 401.7172834597.

The spelling of 64827840 in words is "sixty-four million, eight hundred twenty-seven thousand, eight hundred forty".