162416720 has 20 divisors (see below), whose sum is σ = 377619060. Its totient is φ = 64966656.

The previous prime is 162416713. The next prime is 162416729. The reversal of 162416720 is 27614261.

It can be written as a sum of positive squares in 2 ways, for example, as 66455104 + 95961616 = 8152^2 + 9796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162416729) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1015025 + ... + 1015184.

It is an arithmetic number, because the mean of its divisors is an integer number (18880953).

Almost surely, 2^162416720 is an apocalyptic number.

162416720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162416720 is an abundant number, since it is smaller than the sum of its proper divisors (215202340).

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

162416720 is a wasteful number, since it uses less digits than its factorization.

162416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030222 (or 2030216 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 162416720 is about 12744.2818550125. The cubic root of 162416720 is about 545.6032038580.

The spelling of 162416720 in words is "one hundred sixty-two million, four hundred sixteen thousand, seven hundred twenty".