1506066016 has 96 divisors (see below), whose sum is σ = 3663249408. Its totient is φ = 593533440.

The previous prime is 1506066011. The next prime is 1506066041. The reversal of 1506066016 is 6106606051.

It is a super-2 number, since 2×1506066016² = 4536469689100224512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506066011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904801 + ... + 906463.

It is an arithmetic number, because the mean of its divisors is an integer number (38158848).

Almost surely, 2^1506066016 is an apocalyptic number.

1506066016 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 1506066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704).

1506066016 is an abundant number, since it is smaller than the sum of its proper divisors (2157183392).

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

1506066016 is a wasteful number, since it uses less digits than its factorization.

1506066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1506066016 is about 38808.0663780096. The cubic root of 1506066016 is about 1146.2552460073.

The spelling of 1506066016 in words is "one billion, five hundred six million, sixty-six thousand, sixteen".