1590120 has 96 divisors (see below), whose sum is σ = 5915520. Its totient is φ = 362880.

The previous prime is 1590119. The next prime is 1590131. The reversal of 1590120 is 210951.

It is a Cunningham number, because it is equal to 1261²-1.

It is a super-2 number, since 2×1590120² = 5056963228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1590093 and 1590102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205 + ... + 2835.

It is an arithmetic number, because the mean of its divisors is an integer number (61620).

2^1590120 is an apocalyptic number.

1590120 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 1590120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957760).

1590120 is an abundant number, since it is smaller than the sum of its proper divisors (4325400).

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

1590120 is a wasteful number, since it uses less digits than its factorization.

1590120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 1590120 is about 1260.9996034892. Note that the first 3 decimals coincide. The cubic root of 1590120 is about 116.7194681628.

The spelling of 1590120 in words is "one million, five hundred ninety thousand, one hundred twenty".