1506120 has 128 divisors (see below), whose sum is σ = 5667840. Its totient is φ = 311040.

The previous prime is 1506103. The next prime is 1506121. The reversal of 1506120 is 216051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1506120.

It is not an unprimeable number, because it can be changed into a prime (1506121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9159 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (44280).

2^1506120 is an apocalyptic number.

1506120 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 1506120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833920).

1506120 is an abundant number, since it is smaller than the sum of its proper divisors (4161720).

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

1506120 is a wasteful number, since it uses less digits than its factorization.

1506120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1506120 is about 1227.2408076657. The cubic root of 1506120 is about 114.6268941446.

The spelling of 1506120 in words is "one million, five hundred six thousand, one hundred twenty".