1620626048 has 64 divisors (see below), whose sum is σ = 3511074600. Its totient is φ = 741998592.

The previous prime is 1620626041. The next prime is 1620626057. The reversal of 1620626048 is 8406260261.

It is a Cunningham number, because it is equal to 40257²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 1548579904 + 72046144 = 39352^2 + 8488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1620625999 and 1620626017.

It is not an unprimeable number, because it can be changed into a prime (1620626041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70448 + ... + 90576.

Almost surely, 2^1620626048 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 1620626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755537300).

1620626048 is an abundant number, since it is smaller than the sum of its proper divisors (1890448552).

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

1620626048 is a wasteful number, since it uses less digits than its factorization.

1620626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20197 (or 20185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1620626048 is about 40256.9999875798. Note that the first 4 decimals coincide. The cubic root of 1620626048 is about 1174.6115626846.

The spelling of 1620626048 in words is "one billion, six hundred twenty million, six hundred twenty-six thousand, forty-eight".