64329408 has 252 divisors, whose sum is σ = 221339664. Its totient is φ = 17740800.

The previous prime is 64329389. The next prime is 64329427. The reversal of 64329408 is 80492346.

It is a happy number.

64329408 is a `hidden beast` number, since 643 + 2 + 9 + 4 + 0 + 8 = 666.

64329408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64329389) and next prime (64329427).

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

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 35 ways as a sum of consecutive naturals, for example, 906013 + ... + 906083.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 2^64329408 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 64329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669832).

64329408 is an abundant number, since it is smaller than the sum of its proper divisors (157010256).

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

64329408 is a wasteful number, since it uses less digits than its factorization.

64329408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 64329408 is about 8020.5615763486. The cubic root of 64329408 is about 400.6850926170.

The spelling of 64329408 in words is "sixty-four million, three hundred twenty-nine thousand, four hundred eight".