1506842730 has 128 divisors (see below), whose sum is σ = 4211343360. Its totient is φ = 382916160.

The previous prime is 1506842693. The next prime is 1506842731. The reversal of 1506842730 is 372486051.

1506842730 is a `hidden beast` number, since 1 + 506 + 84 + 2 + 73 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1506842731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 559447 + ... + 562133.

It is an arithmetic number, because the mean of its divisors is an integer number (32901120).

Almost surely, 2^1506842730 is an apocalyptic number.

1506842730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506842730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105671680).

1506842730 is an abundant number, since it is smaller than the sum of its proper divisors (2704500630).

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

1506842730 is a wasteful number, since it uses less digits than its factorization.

1506842730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1506842730 is about 38818.0722087020. The cubic root of 1506842730 is about 1146.4522624903.

The spelling of 1506842730 in words is "one billion, five hundred six million, eight hundred forty-two thousand, seven hundred thirty".