64409904 has 100 divisors (see below), whose sum is σ = 200813536. Its totient is φ = 19813248.

The previous prime is 64409903. The next prime is 64409911. The reversal of 64409904 is 40990446.

64409904 is a `hidden beast` number, since 644 + 0 + 9 + 9 + 0 + 4 = 666.

64409904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64409903) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14937 + ... + 18759.

Almost surely, 2^64409904 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 64409904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100406768).

64409904 is an abundant number, since it is smaller than the sum of its proper divisors (136403632).

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

64409904 is a wasteful number, since it uses less digits than its factorization.

64409904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 64409904 is about 8025.5781100180. The cubic root of 64409904 is about 400.8521499785.

The spelling of 64409904 in words is "sixty-four million, four hundred nine thousand, nine hundred four".