64738560 has 144 divisors (see below), whose sum is σ = 216042624. Its totient is φ = 16490496.

The previous prime is 64738559. The next prime is 64738561. The reversal of 64738560 is 6583746.

64738560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64738559) and next prime (64738561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64738561) 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 15 ways as a sum of consecutive naturals, for example, 87954 + ... + 88686.

It is an arithmetic number, because the mean of its divisors is an integer number (1500296).

Almost surely, 2^64738560 is an apocalyptic number.

64738560 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 64738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108021312).

64738560 is an abundant number, since it is smaller than the sum of its proper divisors (151304064).

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

64738560 is a wasteful number, since it uses less digits than its factorization.

64738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 64738560 is about 8046.0275913024. The cubic root of 64738560 is about 401.5327855851.

The spelling of 64738560 in words is "sixty-four million, seven hundred thirty-eight thousand, five hundred sixty".