1503968 has 24 divisors (see below), whose sum is σ = 3032568. Its totient is φ = 733824.

The previous prime is 1503967. The next prime is 1503989. The reversal of 1503968 is 8693051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1503961) 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, 830 + ... + 1922.

It is an arithmetic number, because the mean of its divisors is an integer number (126357).

2^1503968 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 1503968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516284).

1503968 is an abundant number, since it is smaller than the sum of its proper divisors (1528600).

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

1503968 is a wasteful number, since it uses less digits than its factorization.

1503968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 1503968 is about 1226.3637307096. The cubic root of 1503968 is about 114.5722737388.

The spelling of 1503968 in words is "one million, five hundred three thousand, nine hundred sixty-eight".