64064896 has 64 divisors (see below), whose sum is σ = 147271680. Its totient is φ = 27191808.

The previous prime is 64064893. The next prime is 64064929. The reversal of 64064896 is 69846046.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×64064896⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64064893) 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 7 ways as a sum of consecutive naturals, for example, 113511 + ... + 114073.

It is an arithmetic number, because the mean of its divisors is an integer number (2301120).

Almost surely, 2^64064896 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 64064896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73635840).

64064896 is an abundant number, since it is smaller than the sum of its proper divisors (83206784).

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

64064896 is a wasteful number, since it uses less digits than its factorization.

64064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 64064896 is about 8004.0549723250. The cubic root of 64064896 is about 400.1351543281.

It can be divided in two parts, 640 and 64896, that added together give a 16-th power (65536 = 2¹⁶).

The spelling of 64064896 in words is "sixty-four million, sixty-four thousand, eight hundred ninety-six".