1520288 has 48 divisors (see below), whose sum is σ = 3737664. Its totient is φ = 591360.

The previous prime is 1520287. The next prime is 1520291. The reversal of 1520288 is 8820251.

It is a Cunningham number, because it is equal to 1233²-1.

It is a super-2 number, since 2×1520288² = 4622551205888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1520287) 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, 2156 + ... + 2772.

It is an arithmetic number, because the mean of its divisors is an integer number (77868).

2^1520288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1520288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868832).

1520288 is an abundant number, since it is smaller than the sum of its proper divisors (2217376).

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

1520288 is a wasteful number, since it uses less digits than its factorization.

1520288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 1520288 is about 1232.9995944849. Note that the first 3 decimals coincide. The cubic root of 1520288 is about 114.9852028850.

The spelling of 1520288 in words is "one million, five hundred twenty thousand, two hundred eighty-eight".