163993632 has 96 divisors (see below), whose sum is σ = 474755904. Its totient is φ = 49152000.

The previous prime is 163993603. The next prime is 163993639. The reversal of 163993632 is 236399361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×163993632² = 53787822673102848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (163993639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101632 + ... + 103232.

It is an arithmetic number, because the mean of its divisors is an integer number (4945374).

Almost surely, 2^163993632 is an apocalyptic number.

163993632 is a gapful number since it is divisible by the number (12) 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 163993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237377952).

163993632 is an abundant number, since it is smaller than the sum of its proper divisors (310762272).

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

163993632 is a wasteful number, since it uses less digits than its factorization.

163993632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722 (or 1714 counting only the distinct ones).

The product of its digits is 157464, while the sum is 42.

The square root of 163993632 is about 12805.9998438232. Note that the first 3 decimals coincide. The cubic root of 163993632 is about 547.3632827245.

The spelling of 163993632 in words is "one hundred sixty-three million, nine hundred ninety-three thousand, six hundred thirty-two".