163827840 has 128 divisors (see below), whose sum is σ = 569747520. Its totient is φ = 39710720.

The previous prime is 163827821. The next prime is 163827869. The reversal of 163827840 is 48728361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×163827840² = 53679122318131200, which contains 22 as substring.

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, 17242 + ... + 24998.

Almost surely, 2^163827840 is an apocalyptic number.

163827840 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 163827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284873760).

163827840 is an abundant number, since it is smaller than the sum of its proper divisors (405919680).

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

163827840 is a wasteful number, since it uses less digits than its factorization.

163827840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7778 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 163827840 is about 12799.5249911862. The cubic root of 163827840 is about 547.1787652920.

The spelling of 163827840 in words is "one hundred sixty-three million, eight hundred twenty-seven thousand, eight hundred forty".