64745600 has 48 divisors (see below), whose sum is σ = 159949770. Its totient is φ = 25896960.

The previous prime is 64745591. The next prime is 64745627. The reversal of 64745600 is 654746.

64745600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 48553024 + 16192576 = 6968^2 + 4024^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 6917 + ... + 13316.

Almost surely, 2^64745600 is an apocalyptic number.

It is an amenable number.

64745600 is an abundant number, since it is smaller than the sum of its proper divisors (95204170).

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

64745600 is a wasteful number, since it uses less digits than its factorization.

64745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257 (or 20240 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 64745600 is about 8046.4650623737. The cubic root of 64745600 is about 401.5473399627.

The spelling of 64745600 in words is "sixty-four million, seven hundred forty-five thousand, six hundred".