1506048 has 72 divisors (see below), whose sum is σ = 4194288. Its totient is φ = 479232.

The previous prime is 1506031. The next prime is 1506059. The reversal of 1506048 is 8406051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28390 + ... + 28442.

It is an arithmetic number, because the mean of its divisors is an integer number (58254).

2^1506048 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 1506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097144).

1506048 is an abundant number, since it is smaller than the sum of its proper divisors (2688240).

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

1506048 is an equidigital number, since it uses as much as digits as its factorization.

1506048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1506048 is about 1227.2114732189. The cubic root of 1506048 is about 114.6250675376.

The spelling of 1506048 in words is "one million, five hundred six thousand, forty-eight".