1899648 has 96 divisors (see below), whose sum is σ = 5847660. Its totient is φ = 589824.

The previous prime is 1899647. The next prime is 1899659. The reversal of 1899648 is 8469981.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 28224 = 1368^2 + 168^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1899641) 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, 19536 + ... + 19632.

2^1899648 is an apocalyptic number.

1899648 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 1899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923830).

1899648 is an abundant number, since it is smaller than the sum of its proper divisors (3948012).

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

1899648 is a wasteful number, since it uses less digits than its factorization.

1899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1899648 is about 1378.2771854747. The cubic root of 1899648 is about 123.8485838250.

It can be divided in two parts, 18996 and 48, that added together give a square (19044 = 138²).

The spelling of 1899648 in words is "one million, eight hundred ninety-nine thousand, six hundred forty-eight".