64813840 has 160 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 19740672.

The previous prime is 64813829. The next prime is 64813867. The reversal of 64813840 is 4831846.

It is a junction number, because it is equal to n+sod(n) for n = 64813796 and 64813805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210967 + ... + 211273.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 2^64813840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

64813840 is an abundant number, since it is smaller than the sum of its proper divisors (127673840).

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

64813840 is a wasteful number, since it uses less digits than its factorization.

64813840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 64813840 is about 8050.7043170148. The cubic root of 64813840 is about 401.6883635447.

The spelling of 64813840 in words is "sixty-four million, eight hundred thirteen thousand, eight hundred forty".