1506873060 has 576 divisors, whose sum is σ = 6189281280. Its totient is φ = 287400960.

The previous prime is 1506873023. The next prime is 1506873073. The reversal of 1506873060 is 603786051.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9244539 + ... + 9244701.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2^1506873060 is an apocalyptic number.

1506873060 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 1506873060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094640640).

1506873060 is an abundant number, since it is smaller than the sum of its proper divisors (4682408220).

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

1506873060 is a wasteful number, since it uses less digits than its factorization.

1506873060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1506873060 is about 38818.4628752865. The cubic root of 1506873060 is about 1146.4599544375.

The spelling of 1506873060 in words is "one billion, five hundred six million, eight hundred seventy-three thousand, sixty".