19618040 has 64 divisors (see below), whose sum is σ = 49109760. Its totient is φ = 7004160.

The previous prime is 19618037. The next prime is 19618061. The reversal of 19618040 is 4081691.

It is a junction number, because it is equal to n+sod(n) for n = 19617994 and 19618012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15512 + ... + 16728.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 2^19618040 is an apocalyptic number.

19618040 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 19618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554880).

19618040 is an abundant number, since it is smaller than the sum of its proper divisors (29491720).

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

19618040 is a wasteful number, since it uses less digits than its factorization.

19618040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 19618040 is about 4429.2256659601. The cubic root of 19618040 is about 269.7026447461.

It can be divided in two parts, 1961 and 8040, that added together give a palindrome (10001).

The spelling of 19618040 in words is "nineteen million, six hundred eighteen thousand, forty".