1948064 has 24 divisors (see below), whose sum is σ = 4061988. Its totient is φ = 916480.

The previous prime is 1948049. The next prime is 1948069. The reversal of 1948064 is 4608491.

It can be written as a sum of positive squares in 2 ways, for example, as 1690000 + 258064 = 1300^2 + 508^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1948064.

It is not an unprimeable number, because it can be changed into a prime (1948069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1247 + ... + 2334.

2^1948064 is an apocalyptic number.

It is an amenable number.

1948064 is an abundant number, since it is smaller than the sum of its proper divisors (2113924).

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

1948064 is a wasteful number, since it uses less digits than its factorization.

1948064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3600 counting only the distinct ones).

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

The square root of 1948064 is about 1395.7306330378. The cubic root of 1948064 is about 124.8919386088.

The spelling of 1948064 in words is "one million, nine hundred forty-eight thousand, sixty-four".