163848640 has 112 divisors (see below), whose sum is σ = 409651200. Its totient is φ = 62346240.

The previous prime is 163848611. The next prime is 163848653. The reversal of 163848640 is 46848361.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 163848593 and 163848602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823261 + ... + 823459.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^163848640 is an apocalyptic number.

163848640 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 163848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

163848640 is an abundant number, since it is smaller than the sum of its proper divisors (245802560).

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

163848640 is a wasteful number, since it uses less digits than its factorization.

163848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 163848640 is about 12800.3374955507. The cubic root of 163848640 is about 547.2019213822.

The spelling of 163848640 in words is "one hundred sixty-three million, eight hundred forty-eight thousand, six hundred forty".