17979948 has 96 divisors (see below), whose sum is σ = 56448000. Its totient is φ = 4831488.

The previous prime is 17979937. The next prime is 17980009. The reversal of 17979948 is 84997971.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 17979894 and 17979903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12153 + ... + 13551.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 2^17979948 is an apocalyptic number.

17979948 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 17979948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28224000).

17979948 is an abundant number, since it is smaller than the sum of its proper divisors (38468052).

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

17979948 is a wasteful number, since it uses less digits than its factorization.

17979948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1428 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 17979948 is about 4240.2768777522. The cubic root of 17979948 is about 261.9767863977.

The spelling of 17979948 in words is "seventeen million, nine hundred seventy-nine thousand, nine hundred forty-eight".