162540800 has 108 divisors (see below), whose sum is σ = 407747340. Its totient is φ = 64143360.

The previous prime is 162540743. The next prime is 162540869. The reversal of 162540800 is 8045261.

It can be written as a sum of positive squares in 6 ways, for example, as 6390784 + 156150016 = 2528^2 + 12496^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 162540800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 697484 + ... + 697716.

Almost surely, 2^162540800 is an apocalyptic number.

162540800 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 162540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203873670).

162540800 is an abundant number, since it is smaller than the sum of its proper divisors (245206540).

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

162540800 is a wasteful number, since it uses less digits than its factorization.

162540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 162540800 is about 12749.1489912072. The cubic root of 162540800 is about 545.7421083033.

It can be divided in two parts, 162 and 540800, that multiplied together give a square (87609600 = 9360²).

The spelling of 162540800 in words is "one hundred sixty-two million, five hundred forty thousand, eight hundred".