1903968 has 72 divisors (see below), whose sum is σ = 5916456. Its totient is φ = 576000.

The previous prime is 1903961. The next prime is 1903969. The reversal of 1903968 is 8693091.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1903961) 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, 2868 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (82173).

2^1903968 is an apocalyptic number.

1903968 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 1903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958228).

1903968 is an abundant number, since it is smaller than the sum of its proper divisors (4012488).

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

1903968 is a wasteful number, since it uses less digits than its factorization.

1903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1903968 is about 1379.8434693834. The cubic root of 1903968 is about 123.9423943319.

The spelling of 1903968 in words is "one million, nine hundred three thousand, nine hundred sixty-eight".