627649344 has 224 divisors, whose sum is σ = 2220569600. Its totient is φ = 169827840.

The previous prime is 627649339. The next prime is 627649381. The reversal of 627649344 is 443946726.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 627649344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228459 + ... + 231189.

Almost surely, 2^627649344 is an apocalyptic number.

627649344 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 627649344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110284800).

627649344 is an abundant number, since it is smaller than the sum of its proper divisors (1592920256).

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

627649344 is a wasteful number, since it uses less digits than its factorization.

627649344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2762 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 627649344 is about 25052.9308465098. The cubic root of 627649344 is about 856.1943542150.

The spelling of 627649344 in words is "six hundred twenty-seven million, six hundred forty-nine thousand, three hundred forty-four".