1471968 has 72 divisors (see below), whose sum is σ = 4422600. Its totient is φ = 463104.

The previous prime is 1471937. The next prime is 1472017. The reversal of 1471968 is 8691741.

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 congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5338 + ... + 5606.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

2^1471968 is an apocalyptic number.

1471968 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 1471968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211300).

1471968 is an abundant number, since it is smaller than the sum of its proper divisors (2950632).

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

1471968 is a wasteful number, since it uses less digits than its factorization.

1471968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1471968 is about 1213.2468833671. The cubic root of 1471968 is about 113.7538548788.

It can be divided in two parts, 1 and 471968, that added together give a square (471969 = 687²).

The spelling of 1471968 in words is "one million, four hundred seventy-one thousand, nine hundred sixty-eight".