1530816 has 112 divisors (see below), whose sum is σ = 4974336. Its totient is φ = 405504.

The previous prime is 1530803. The next prime is 1530827. The reversal of 1530816 is 6180351.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22815 + ... + 22881.

2^1530816 is an apocalyptic number.

1530816 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 1530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487168).

1530816 is an abundant number, since it is smaller than the sum of its proper divisors (3443520).

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

1530816 is a wasteful number, since it uses less digits than its factorization.

1530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1530816 is about 1237.2614921673. The cubic root of 1530816 is about 115.2500168611.

It can be divided in two parts, 1530 and 816, that added together give a triangular number (2346 = T₆₈).

The spelling of 1530816 in words is "one million, five hundred thirty thousand, eight hundred sixteen".