163863040 has 180 divisors, whose sum is σ = 451443762. Its totient is φ = 56995840.

The previous prime is 163863031. The next prime is 163863041. The reversal of 163863040 is 40368361.

163863040 = T₂₄₀ + T₂₄₁ + ... + T₉₉₈.

163863040 = 1699² + 1700² + ... + 1753².

It can be written as a sum of positive squares in only one way, i.e., 147476736 + 16386304 = 12144^2 + 4048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 163862993 and 163863011.

It is not an unprimeable number, because it can be changed into a prime (163863041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7124469 + ... + 7124491.

Almost surely, 2^163863040 is an apocalyptic number.

163863040 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 163863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225721881).

163863040 is an abundant number, since it is smaller than the sum of its proper divisors (287580722).

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

163863040 is an equidigital number, since it uses as much as digits as its factorization.

163863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 163863040 is about 12800.8999683616. The cubic root of 163863040 is about 547.2179513735.

The spelling of 163863040 in words is "one hundred sixty-three million, eight hundred sixty-three thousand, forty".