1948536 has 80 divisors (see below), whose sum is σ = 5691840. Its totient is φ = 622080.

The previous prime is 1948519. The next prime is 1948549. The reversal of 1948536 is 6358491.

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

It is a d-powerful number, because it can be written as 1 + 9² + 4⁹ + 8 + 5³ + 3⁸ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 1948536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20040 + ... + 20136.

It is an arithmetic number, because the mean of its divisors is an integer number (71148).

2^1948536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845920).

1948536 is an abundant number, since it is smaller than the sum of its proper divisors (3743304).

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

1948536 is a wasteful number, since it uses less digits than its factorization.

1948536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1948536 is about 1395.8997098646. The cubic root of 1948536 is about 124.9020245599.

The spelling of 1948536 in words is "one million, nine hundred forty-eight thousand, five hundred thirty-six".