892989216 has 144 divisors (see below), whose sum is σ = 2911708800. Its totient is φ = 254306304.

The previous prime is 892989203. The next prime is 892989221. The reversal of 892989216 is 612989298.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884520 + ... + 885528.

It is an arithmetic number, because the mean of its divisors is an integer number (20220200).

Almost surely, 2^892989216 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 892989216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455854400).

892989216 is an abundant number, since it is smaller than the sum of its proper divisors (2018719584).

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

892989216 is a wasteful number, since it uses less digits than its factorization.

892989216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1460 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 892989216 is about 29882.9251580229. The cubic root of 892989216 is about 962.9758698418.

The spelling of 892989216 in words is "eight hundred ninety-two million, nine hundred eighty-nine thousand, two hundred sixteen".