814962060 has 480 divisors, whose sum is σ = 3073593600. Its totient is φ = 178536960.

The previous prime is 814962023. The next prime is 814962067. The reversal of 814962060 is 60269418.

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

It is not an unprimeable number, because it can be changed into a prime (814962067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9818779 + ... + 9818861.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^814962060 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 814962060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536796800).

814962060 is an abundant number, since it is smaller than the sum of its proper divisors (2258631540).

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

814962060 is a wasteful number, since it uses less digits than its factorization.

814962060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 814962060 is about 28547.5403493891. The cubic root of 814962060 is about 934.0693686662.

The spelling of 814962060 in words is "eight hundred fourteen million, nine hundred sixty-two thousand, sixty".