945216 has 56 divisors (see below), whose sum is σ = 2783840. Its totient is φ = 314496.

The previous prime is 945211. The next prime is 945227. The reversal of 945216 is 612549.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 945216.

It is not an unprimeable number, because it can be changed into a prime (945211) by changing a digit.

945216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1455 + ... + 2001.

2⁹⁴⁵²¹⁶ is an apocalyptic number.

945216 is a gapful number since it is divisible by the number (96) 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 945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391920).

945216 is an abundant number, since it is smaller than the sum of its proper divisors (1838624).

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

945216 is a wasteful number, since it uses less digits than its factorization.

945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 552 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 945216 is about 972.2221968254. Note that the first 3 decimals coincide. The cubic root of 945216 is about 98.1394654591.

Adding to 945216 its product of digits (2160), we get a triangular number (947376 = T₁₃₇₆).

The spelling of 945216 in words is "nine hundred forty-five thousand, two hundred sixteen".