64829520 has 240 divisors, whose sum is σ = 262304640. Its totient is φ = 14017536.

The previous prime is 64829507. The next prime is 64829521. The reversal of 64829520 is 2592846.

It is a happy number.

64829520 is a `hidden beast` number, since 648 + 2 + 9 + 5 + 2 + 0 = 666.

64829520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64829521) 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 47 ways as a sum of consecutive naturals, for example, 95422 + ... + 96098.

It is an arithmetic number, because the mean of its divisors is an integer number (1092936).

Almost surely, 2^64829520 is an apocalyptic number.

64829520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64829520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131152320).

64829520 is an abundant number, since it is smaller than the sum of its proper divisors (197475120).

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

64829520 is a wasteful number, since it uses less digits than its factorization.

64829520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64829520 is about 8051.6780859644. The cubic root of 64829520 is about 401.7207535697.

The spelling of 64829520 in words is "sixty-four million, eight hundred twenty-nine thousand, five hundred twenty".