64007724 has 48 divisors (see below), whose sum is σ = 166916736. Its totient is φ = 18921600.

The previous prime is 64007717. The next prime is 64007773. The reversal of 64007724 is 42770046.

64007724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64007691 and 64007700.

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 15 ways as a sum of consecutive naturals, for example, 502 + ... + 11325.

It is an arithmetic number, because the mean of its divisors is an integer number (3477432).

Almost surely, 2^64007724 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 64007724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83458368).

64007724 is an abundant number, since it is smaller than the sum of its proper divisors (102909012).

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

64007724 is a wasteful number, since it uses less digits than its factorization.

64007724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11886 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 64007724 is about 8000.4827354354. The cubic root of 64007724 is about 400.0160910194.

The spelling of 64007724 in words is "sixty-four million, seven thousand, seven hundred twenty-four".