1290240 has 156 divisors (see below), whose sum is σ = 5111184. Its totient is φ = 294912.

The previous prime is 1290209. The next prime is 1290257. The reversal of 1290240 is 420921.

It is a Jordan-Polya number, since it can be written as 8! ⋅ (2!)⁵.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184317 + ... + 184323.

It is an arithmetic number, because the mean of its divisors is an integer number (32764).

2^1290240 is an apocalyptic number.

1290240 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 1290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555592).

1290240 is an abundant number, since it is smaller than the sum of its proper divisors (3820944).

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

1290240 is an equidigital number, since it uses as much as digits as its factorization.

1290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1290240 is about 1135.8873183551. The cubic root of 1290240 is about 108.8654738553.

The spelling of 1290240 in words is "one million, two hundred ninety thousand, two hundred forty".