19048640 has 112 divisors (see below), whose sum is σ = 51633120. Its totient is φ = 6635520.

The previous prime is 19048639. The next prime is 19048691. The reversal of 19048640 is 4684091.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 19048597 and 19048606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78920 + ... + 79160.

It is an arithmetic number, because the mean of its divisors is an integer number (461010).

Almost surely, 2^19048640 is an apocalyptic number.

19048640 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 19048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25816560).

19048640 is an abundant number, since it is smaller than the sum of its proper divisors (32584480).

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

19048640 is a wasteful number, since it uses less digits than its factorization.

19048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 19048640 is about 4364.4747679417. The cubic root of 19048640 is about 267.0676744484.

It can be divided in two parts, 190 and 48640, that multiplied together give a square (9241600 = 3040²).

The spelling of 19048640 in words is "nineteen million, forty-eight thousand, six hundred forty".