9162000 has 120 divisors (see below), whose sum is σ = 32062680. Its totient is φ = 2438400.

The previous prime is 9161993. The next prime is 9162001. The reversal of 9162000 is 2619.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 9144576 = 132^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (9162001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17746 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (267189).

Almost surely, 2^9162000 is an apocalyptic number.

9162000 is a gapful number since it is divisible by the number (90) 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 9162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031340).

9162000 is an abundant number, since it is smaller than the sum of its proper divisors (22900680).

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

9162000 is a wasteful number, since it uses less digits than its factorization.

9162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 9162000 is about 3026.8795813511. The cubic root of 9162000 is about 209.2490182934.

Adding to 9162000 its reverse (2619), we get a palindrome (9164619).

It can be divided in two parts, 916 and 2000, that added together give a square (2916 = 54²).

The spelling of 9162000 in words is "nine million, one hundred sixty-two thousand".