17970048 has 96 divisors (see below), whose sum is σ = 54498600. Its totient is φ = 5667840.

The previous prime is 17970047. The next prime is 17970077. The reversal of 17970048 is 84007971.

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

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

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 17969994 and 17970021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17970047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21478 + ... + 22298.

Almost surely, 2^17970048 is an apocalyptic number.

17970048 is a gapful number since it is divisible by the number (18) 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 17970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27249300).

17970048 is an abundant number, since it is smaller than the sum of its proper divisors (36528552).

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

17970048 is a wasteful number, since it uses less digits than its factorization.

17970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 17970048 is about 4239.1093404157. The cubic root of 17970048 is about 261.9286949285.

The spelling of 17970048 in words is "seventeen million, nine hundred seventy thousand, forty-eight".