64624644 has 144 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 17273088.

The previous prime is 64624639. The next prime is 64624709. The reversal of 64624644 is 44642646.

It is a happy number.

64624644 is a `hidden beast` number, since 6 + 4 + 6 + 2 + 4 + 644 = 666.

It is a super-2 number, since 2×64624644² = 8352689224253472, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 64624599 and 64624608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270277 + ... + 270515.

It is an arithmetic number, because the mean of its divisors is an integer number (1383200).

Almost surely, 2^64624644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64624644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400).

64624644 is an abundant number, since it is smaller than the sum of its proper divisors (134556156).

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

64624644 is a wasteful number, since it uses less digits than its factorization.

64624644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 64624644 is about 8038.9454532295. The cubic root of 64624644 is about 401.2971307494.

The spelling of 64624644 in words is "sixty-four million, six hundred twenty-four thousand, six hundred forty-four".