827610642 has 32 divisors (see below), whose sum is σ = 1902556800. Its totient is φ = 266356944.

The previous prime is 827610601. The next prime is 827610703. The reversal of 827610642 is 246016728.

827610642 is a `hidden beast` number, since 8 + 2 + 7 + 6 + 1 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 827610597 and 827610606.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262678 + ... + 265809.

It is an arithmetic number, because the mean of its divisors is an integer number (59454900).

Almost surely, 2^827610642 is an apocalyptic number.

827610642 is an abundant number, since it is smaller than the sum of its proper divisors (1074946158).

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

827610642 is a wasteful number, since it uses less digits than its factorization.

827610642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528527 (or 528521 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 827610642 is about 28768.2227813954. Note that the first 3 decimals coincide. The cubic root of 827610642 is about 938.8769755839.

The spelling of 827610642 in words is "eight hundred twenty-seven million, six hundred ten thousand, six hundred forty-two".