17978112 has 162 divisors, whose sum is σ = 57103228. Its totient is φ = 5640192.

The previous prime is 17978083. The next prime is 17978117. The reversal of 17978112 is 21187971.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (162).

It is a super-2 number, since 2×17978112² = 646425022169088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (17978117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1057528 + ... + 1057544.

Almost surely, 2^17978112 is an apocalyptic number.

17978112 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 17978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28551614).

17978112 is an abundant number, since it is smaller than the sum of its proper divisors (39125116).

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

17978112 is an frugal number, since it uses more digits than its factorization.

17978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 22 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 17978112 is about 4240.0603769286. The cubic root of 17978112 is about 261.9678689498.

The spelling of 17978112 in words is "seventeen million, nine hundred seventy-eight thousand, one hundred twelve".