162966000 has 160 divisors (see below), whose sum is σ = 531805248. Its totient is φ = 42931200.

The previous prime is 162965989. The next prime is 162966007. The reversal of 162966000 is 669261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162966007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941914 + ... + 942086.

Almost surely, 2^162966000 is an apocalyptic number.

162966000 is a gapful number since it is divisible by the number (10) 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 162966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265902624).

162966000 is an abundant number, since it is smaller than the sum of its proper divisors (368839248).

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

162966000 is a wasteful number, since it uses less digits than its factorization.

162966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 162966000 is about 12765.8137225952. The cubic root of 162966000 is about 546.2175735280.

The spelling of 162966000 in words is "one hundred sixty-two million, nine hundred sixty-six thousand".