1056480 has 96 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 268800.

The previous prime is 1056479. The next prime is 1056481. The reversal of 1056480 is 846501.

It is an interprime number because it is at equal distance from previous prime (1056479) and next prime (1056481).

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

It is a super-2 number, since 2×1056480² = 2232299980800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 1056480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056481) 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, 14845 + ... + 14915.

It is an arithmetic number, because the mean of its divisors is an integer number (36288).

2^1056480 is an apocalyptic number.

1056480 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 1056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824).

1056480 is an abundant number, since it is smaller than the sum of its proper divisors (2427168).

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

1056480 is a wasteful number, since it uses less digits than its factorization.

1056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1056480 is about 1027.8521294428. The cubic root of 1056480 is about 101.8482942784.

The spelling of 1056480 in words is "one million, fifty-six thousand, four hundred eighty".