892216900 has 81 divisors (see below), whose sum is σ = 2024831991. Its totient is φ = 341234880.

The previous prime is 892216889. The next prime is 892216903. The reversal of 892216900 is 9612298.

The square root of 892216900 is 29870.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12264004 + 879952896 = 3502^2 + 29664^2 .

It is a super-2 number, since 2×892216900² = 1592101993291220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 892216900.

It is not an unprimeable number, because it can be changed into a prime (892216903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8662249 + ... + 8662351.

Almost surely, 2^892216900 is an apocalyptic number.

892216900 is the 29870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 892216900

892216900 is an abundant number, since it is smaller than the sum of its proper divisors (1132615091).

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

892216900 is a wasteful number, since it uses less digits than its factorization.

892216900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The cubic root of 892216900 is about 962.6981747445.

It can be divided in two parts, 892216 and 900, that added together give a triangular number (893116 = T₁₃₃₆).

The spelling of 892216900 in words is "eight hundred ninety-two million, two hundred sixteen thousand, nine hundred".