1956480 has 64 divisors (see below), whose sum is σ = 6242400. Its totient is φ = 521216.

The previous prime is 1956439. The next prime is 1956481. The reversal of 1956480 is 846591.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956481) 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, 1411 + ... + 2429.

2^1956480 is an apocalyptic number.

1956480 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 1956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121200).

1956480 is an abundant number, since it is smaller than the sum of its proper divisors (4285920).

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

1956480 is a wasteful number, since it uses less digits than its factorization.

1956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1956480 is about 1398.7422922040. The cubic root of 1956480 is about 125.0715323905.

The spelling of 1956480 in words is "one million, nine hundred fifty-six thousand, four hundred eighty".