1968480 has 72 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 524544.

The previous prime is 1968467. The next prime is 1968487. The reversal of 1968480 is 848691.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (1968487) 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, 757 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (93366).

2^1968480 is an apocalyptic number.

1968480 is a gapful number since it is divisible by the number (10) 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 1968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

1968480 is an abundant number, since it is smaller than the sum of its proper divisors (4753872).

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

1968480 is a wasteful number, since it uses less digits than its factorization.

1968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1968480 is about 1403.0253026941. The cubic root of 1968480 is about 125.3267186288.

The spelling of 1968480 in words is "one million, nine hundred sixty-eight thousand, four hundred eighty".