1506016 has 24 divisors (see below), whose sum is σ = 3122280. Its totient is φ = 713088.

The previous prime is 1506007. The next prime is 1506023. The reversal of 1506016 is 6106051.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1505984 and 1506002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 631 + ... + 1846.

It is an arithmetic number, because the mean of its divisors is an integer number (130095).

2^1506016 is an apocalyptic number.

1506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1506016 is an abundant number, since it is smaller than the sum of its proper divisors (1616264).

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

1506016 is a wasteful number, since it uses less digits than its factorization.

1506016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1506016 is about 1227.1984354618. The cubic root of 1506016 is about 114.6242556936.

The spelling of 1506016 in words is "one million, five hundred six thousand, sixteen".