64929408 has 64 divisors (see below), whose sum is σ = 173318400. Its totient is φ = 21536768.

The previous prime is 64929401. The next prime is 64929421. The reversal of 64929408 is 80492946.

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

It is a super-3 number, since 3×64929408³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64929408.

It is not an unprimeable number, because it can be changed into a prime (64929401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135313 + ... + 135791.

It is an arithmetic number, because the mean of its divisors is an integer number (2708100).

Almost surely, 2^64929408 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 64929408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86659200).

64929408 is an abundant number, since it is smaller than the sum of its proper divisors (108388992).

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

64929408 is a wasteful number, since it uses less digits than its factorization.

64929408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 64929408 is about 8057.8786290189. The cubic root of 64929408 is about 401.9269687386.

The spelling of 64929408 in words is "sixty-four million, nine hundred twenty-nine thousand, four hundred eight".