1506670816 has 144 divisors (see below), whose sum is σ = 3674885760. Its totient is φ = 604558080.

The previous prime is 1506670811. The next prime is 1506670817. The reversal of 1506670816 is 6180766051.

1506670816 is nontrivially palindromic in base 6.

It is a super-2 number, since 2×1506670816² = 4540113895572211712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506670811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3068331 + ... + 3068821.

It is an arithmetic number, because the mean of its divisors is an integer number (25520040).

Almost surely, 2^1506670816 is an apocalyptic number.

1506670816 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 1506670816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837442880).

1506670816 is an abundant number, since it is smaller than the sum of its proper divisors (2168214944).

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

1506670816 is a wasteful number, since it uses less digits than its factorization.

1506670816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1506670816 is about 38815.8577903413. The cubic root of 1506670816 is about 1146.4086616805.

The spelling of 1506670816 in words is "one billion, five hundred six million, six hundred seventy thousand, eight hundred sixteen".