1606527648 has 240 divisors, whose sum is σ = 5194828800. Its totient is φ = 482993280.

The previous prime is 1606527631. The next prime is 1606527649. The reversal of 1606527648 is 8467256061.

1606527648 is a `hidden beast` number, since 1 + 60 + 6 + 527 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1606527649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12649761 + ... + 12649887.

It is an arithmetic number, because the mean of its divisors is an integer number (21645120).

Almost surely, 2^1606527648 is an apocalyptic number.

1606527648 is a gapful number since it is divisible by the number (18) 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 1606527648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597414400).

1606527648 is an abundant number, since it is smaller than the sum of its proper divisors (3588301152).

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

1606527648 is an equidigital number, since it uses as much as digits as its factorization.

1606527648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1606527648 is about 40081.5125463099. The cubic root of 1606527648 is about 1171.1955169810.

The spelling of 1606527648 in words is "one billion, six hundred six million, five hundred twenty-seven thousand, six hundred forty-eight".