162001800 has 72 divisors (see below), whose sum is σ = 544062090. Its totient is φ = 43200000.

The previous prime is 162001757. The next prime is 162001831. The reversal of 162001800 is 8100261.

162001800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 158608836 + 3392964 = 12594^2 + 1842^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43201 + ... + 46800.

Almost surely, 2^162001800 is an apocalyptic number.

162001800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162001800 is an abundant number, since it is smaller than the sum of its proper divisors (382060290).

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

162001800 is a wasteful number, since it uses less digits than its factorization.

162001800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90023 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 162001800 is about 12727.9927718396. The cubic root of 162001800 is about 545.1381968650.

It can be divided in two parts, 16200 and 1800, that multiplied together give a square (29160000 = 5400²).

The spelling of 162001800 in words is "one hundred sixty-two million, one thousand, eight hundred".