1536216 has 72 divisors (see below), whose sum is σ = 4412940. Its totient is φ = 445280.

The previous prime is 1536211. The next prime is 1536221. The reversal of 1536216 is 6126351.

It is an interprime number because it is at equal distance from previous prime (1536211) and next prime (1536221).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536211) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 66781 + ... + 66803.

2^1536216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1536216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206470).

1536216 is an abundant number, since it is smaller than the sum of its proper divisors (2876724).

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

1536216 is a wasteful number, since it uses less digits than its factorization.

1536216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 39 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1536216 is about 1239.4418098483. The cubic root of 1536216 is about 115.3853738070.

Multiplying 1536216 by its sum of digits (24), we get a square (36869184 = 6072²).

1536216 divided by its sum of digits (24) gives a square (64009 = 253²).

It can be divided in two parts, 1536 and 216, that multiplied together give a 4-th power (331776 = 24⁴).

The spelling of 1536216 in words is "one million, five hundred thirty-six thousand, two hundred sixteen".