1296480 has 96 divisors (see below), whose sum is σ = 4251744. Its totient is φ = 331776.

The previous prime is 1296473. The next prime is 1296481. The reversal of 1296480 is 846921.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17724 + ... + 17796.

It is an arithmetic number, because the mean of its divisors is an integer number (44289).

2^1296480 is an apocalyptic number.

1296480 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 1296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125872).

1296480 is an abundant number, since it is smaller than the sum of its proper divisors (2955264).

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

1296480 is a wasteful number, since it uses less digits than its factorization.

1296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1296480 is about 1138.6307566547. The cubic root of 1296480 is about 109.0406940611.

The spelling of 1296480 in words is "one million, two hundred ninety-six thousand, four hundred eighty".