1506605216 has 48 divisors (see below), whose sum is σ = 3080012040. Its totient is φ = 724577280.

The previous prime is 1506605207. The next prime is 1506605227. The reversal of 1506605216 is 6125066051.

It can be written as a sum of positive squares in 4 ways, for example, as 1049500816 + 457104400 = 32396^2 + 21380^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254126 + ... + 259986.

Almost surely, 2^1506605216 is an apocalyptic number.

1506605216 is a gapful number since it is divisible by the number (16) 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 1506605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540006020).

1506605216 is an abundant number, since it is smaller than the sum of its proper divisors (1573406824).

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

1506605216 is a wasteful number, since it uses less digits than its factorization.

1506605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 1506605216 is about 38815.0127656813. The cubic root of 1506605216 is about 1146.3920233414.

The spelling of 1506605216 in words is "one billion, five hundred six million, six hundred five thousand, two hundred sixteen".