1543968 has 48 divisors (see below), whose sum is σ = 4505760. Its totient is φ = 514368.

The previous prime is 1543961. The next prime is 1543979. The reversal of 1543968 is 8693451.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (1543961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (93870).

2^1543968 is an apocalyptic number.

1543968 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 1543968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252880).

1543968 is an abundant number, since it is smaller than the sum of its proper divisors (2961792).

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

1543968 is a wasteful number, since it uses less digits than its factorization.

1543968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1792 counting only the distinct ones).

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

The square root of 1543968 is about 1242.5650888384. The cubic root of 1543968 is about 115.5791328179.

The spelling of 1543968 in words is "one million, five hundred forty-three thousand, nine hundred sixty-eight".