1506816 has 80 divisors (see below), whose sum is σ = 4501200. Its totient is φ = 497664.

The previous prime is 1506809. The next prime is 1506823. The reversal of 1506816 is 6186051.

It is an interprime number because it is at equal distance from previous prime (1506809) and next prime (1506823).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 1506816.

It is a congruent number.

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, 13770 + ... + 13878.

It is an arithmetic number, because the mean of its divisors is an integer number (56265).

2^1506816 is an apocalyptic number.

1506816 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 1506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250600).

1506816 is an abundant number, since it is smaller than the sum of its proper divisors (2994384).

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

1506816 is an equidigital number, since it uses as much as digits as its factorization.

1506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1506816 is about 1227.5243378443. The cubic root of 1506816 is about 114.6445483448.

The spelling of 1506816 in words is "one million, five hundred six thousand, eight hundred sixteen".