626730048 has 392 divisors, whose sum is σ = 2265395520. Its totient is φ = 167961600.

The previous prime is 626730017. The next prime is 626730061. The reversal of 626730048 is 840037626.

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 = 626729994 and 626730021.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 6205198 + ... + 6205298.

Almost surely, 2^626730048 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 626730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132697760).

626730048 is an abundant number, since it is smaller than the sum of its proper divisors (1638665472).

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

626730048 is a wasteful number, since it uses less digits than its factorization.

626730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 626730048 is about 25034.5770485543. The cubic root of 626730048 is about 855.7761373433.

It can be divided in two parts, 6267 and 30048, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 626730048 in words is "six hundred twenty-six million, seven hundred thirty thousand, forty-eight".