162240000 has 300 divisors, whose sum is σ = 584840916. Its totient is φ = 39936000.

The previous prime is 162239977. The next prime is 162240047. The reversal of 162240000 is 42261.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12479994 + ... + 12480006.

Almost surely, 2^162240000 is an apocalyptic number.

162240000 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 162240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292420458).

162240000 is an abundant number, since it is smaller than the sum of its proper divisors (422600916).

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

162240000 is an frugal number, since it uses more digits than its factorization.

162240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 162240000 is about 12737.3466624725. The cubic root of 162240000 is about 545.4052480700.

Multiplying 162240000 by its product of nonzero digits (96), we get a square (15575040000 = 124800²).

162240000 divided by its product of nonzero digits (96) gives a square (1690000 = 1300²).

Adding to 162240000 its reverse (42261), we get a palindrome (162282261).

The spelling of 162240000 in words is "one hundred sixty-two million, two hundred forty thousand".