64627584 has 64 divisors (see below), whose sum is σ = 196199040. Its totient is φ = 18464256.

The previous prime is 64627583. The next prime is 64627613. The reversal of 64627584 is 48572646.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×64627584² = 8353449227354112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64627583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9334 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (3065610).

Almost surely, 2^64627584 is an apocalyptic number.

64627584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

64627584 is an abundant number, since it is smaller than the sum of its proper divisors (131571456).

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

64627584 is a wasteful number, since it uses less digits than its factorization.

64627584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24067 (or 24055 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 64627584 is about 8039.1283109551. The cubic root of 64627584 is about 401.3032161249.

The spelling of 64627584 in words is "sixty-four million, six hundred twenty-seven thousand, five hundred eighty-four".