162536640 has 336 divisors, whose sum is σ = 631740672. Its totient is φ = 34670592.

The previous prime is 162536639. The next prime is 162536641. The reversal of 162536640 is 46635261.

162536640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (162536639) and next prime (162536641).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (162536641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2425887 + ... + 2425953.

Almost surely, 2^162536640 is an apocalyptic number.

162536640 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 162536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315870336).

162536640 is an abundant number, since it is smaller than the sum of its proper divisors (469204032).

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

162536640 is a wasteful number, since it uses less digits than its factorization.

162536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 162536640 is about 12748.9858420190. The cubic root of 162536640 is about 545.7374524332.

The spelling of 162536640 in words is "one hundred sixty-two million, five hundred thirty-six thousand, six hundred forty".