64547120 has 80 divisors (see below), whose sum is σ = 167801760. Its totient is φ = 22886400.

The previous prime is 64547101. The next prime is 64547141. The reversal of 64547120 is 2174546.

64547120 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 (80).

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, 35186 + ... + 36974.

It is an arithmetic number, because the mean of its divisors is an integer number (2097522).

Almost surely, 2^64547120 is an apocalyptic number.

64547120 is the 6560-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64547120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83900880).

64547120 is an abundant number, since it is smaller than the sum of its proper divisors (103254640).

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

64547120 is a wasteful number, since it uses less digits than its factorization.

64547120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 64547120 is about 8034.1222295905. The cubic root of 64547120 is about 401.1366006219.

The spelling of 64547120 in words is "sixty-four million, five hundred forty-seven thousand, one hundred twenty".