64825344 has 72 divisors (see below), whose sum is σ = 187280730. Its totient is φ = 21602304.

The previous prime is 64825337. The next prime is 64825367. The reversal of 64825344 is 44352846.

64825344 is a `hidden beast` number, since 648 + 2 + 5 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38937600 + 25887744 = 6240^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64825299 and 64825308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16674 + ... + 20190.

Almost surely, 2^64825344 is an apocalyptic number.

64825344 is a gapful number since it is divisible by the number (64) 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 64825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93640365).

64825344 is an abundant number, since it is smaller than the sum of its proper divisors (122455386).

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

64825344 is a wasteful number, since it uses less digits than its factorization.

64825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3522 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 64825344 is about 8051.4187569645. The cubic root of 64825344 is about 401.7121277570.

The spelling of 64825344 in words is "sixty-four million, eight hundred twenty-five thousand, three hundred forty-four".