163743840 has 144 divisors (see below), whose sum is σ = 601827408. Its totient is φ = 40301568.

The previous prime is 163743823. The next prime is 163743863. The reversal of 163743840 is 48347361.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 163743795 and 163743804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14347 + ... + 23093.

It is an arithmetic number, because the mean of its divisors is an integer number (4179357).

Almost surely, 2^163743840 is an apocalyptic number.

163743840 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 163743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300913704).

163743840 is an abundant number, since it is smaller than the sum of its proper divisors (438083568).

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

163743840 is a wasteful number, since it uses less digits than its factorization.

163743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 163743840 is about 12796.2431986892. The cubic root of 163743840 is about 547.0852303672.

The spelling of 163743840 in words is "one hundred sixty-three million, seven hundred forty-three thousand, eight hundred forty".