1553280 has 64 divisors (see below), whose sum is σ = 4957200. Its totient is φ = 413696.

The previous prime is 1553249. The next prime is 1553281. The reversal of 1553280 is 823551.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1553280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553281) 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, 1516 + ... + 2324.

2^1553280 is an apocalyptic number.

1553280 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 1553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478600).

1553280 is an abundant number, since it is smaller than the sum of its proper divisors (3403920).

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

1553280 is an equidigital number, since it uses as much as digits as its factorization.

1553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1553280 is about 1246.3065433512. The cubic root of 1553280 is about 115.8110280303.

The spelling of 1553280 in words is "one million, five hundred fifty-three thousand, two hundred eighty".