163088640 has 540 divisors, whose sum is σ = 690775932. Its totient is φ = 36495360.

The previous prime is 163088621. The next prime is 163088641. The reversal of 163088640 is 46880361.

It is a happy number.

163088640 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 8 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 122943744 = 6336^2 + 11088^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 163088595 and 163088604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163088641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12545274 + ... + 12545286.

Almost surely, 2^163088640 is an apocalyptic number.

163088640 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 163088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345387966).

163088640 is an abundant number, since it is smaller than the sum of its proper divisors (527687292).

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

163088640 is a wasteful number, since it uses less digits than its factorization.

163088640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 163088640 is about 12770.6162733049. The cubic root of 163088640 is about 546.3545577789.

The spelling of 163088640 in words is "one hundred sixty-three million, eighty-eight thousand, six hundred forty".