1506114060 has 192 divisors, whose sum is σ = 4904976384. Its totient is φ = 341651200.

The previous prime is 1506114041. The next prime is 1506114061. The reversal of 1506114060 is 604116051.

It is a self number, because there is not a number n which added to its sum of digits gives 1506114060.

It is not an unprimeable number, because it can be changed into a prime (1506114061) 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, 712405 + ... + 714515.

It is an arithmetic number, because the mean of its divisors is an integer number (25546752).

Almost surely, 2^1506114060 is an apocalyptic number.

1506114060 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 1506114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452488192).

1506114060 is an abundant number, since it is smaller than the sum of its proper divisors (3398862324).

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

1506114060 is a wasteful number, since it uses less digits than its factorization.

1506114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1506114060 is about 38808.6853680977. The cubic root of 1506114060 is about 1146.2674345171.

The spelling of 1506114060 in words is "one billion, five hundred six million, one hundred fourteen thousand, sixty".