163648640 has 64 divisors (see below), whose sum is σ = 393216120. Its totient is φ = 65126400.

The previous prime is 163648631. The next prime is 163648649. The reversal of 163648640 is 46846361.

It is an interprime number because it is at equal distance from previous prime (163648631) and next prime (163648649).

It can be written as a sum of positive squares in 4 ways, for example, as 153561664 + 10086976 = 12392^2 + 3176^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 163648594 and 163648603.

It is not an unprimeable number, because it can be changed into a prime (163648649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153710 + ... + 154770.

Almost surely, 2^163648640 is an apocalyptic number.

163648640 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 163648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196608060).

163648640 is an abundant number, since it is smaller than the sum of its proper divisors (229567480).

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

163648640 is a wasteful number, since it uses less digits than its factorization.

163648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 163648640 is about 12792.5228160828. The cubic root of 163648640 is about 546.9791854401.

The spelling of 163648640 in words is "one hundred sixty-three million, six hundred forty-eight thousand, six hundred forty".