64274688 has 144 divisors (see below), whose sum is σ = 201620160. Its totient is φ = 20127744.

The previous prime is 64274669. The next prime is 64274689. The reversal of 64274688 is 88647246.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64274689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117231 + ... + 117777.

It is an arithmetic number, because the mean of its divisors is an integer number (1400140).

Almost surely, 2^64274688 is an apocalyptic number.

64274688 is a gapful number since it is divisible by the number (68) 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 64274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100810080).

64274688 is an abundant number, since it is smaller than the sum of its proper divisors (137345472).

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

64274688 is a wasteful number, since it uses less digits than its factorization.

64274688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 569 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 64274688 is about 8017.1496181623. The cubic root of 64274688 is about 400.5714498905.

The spelling of 64274688 in words is "sixty-four million, two hundred seventy-four thousand, six hundred eighty-eight".