814560642 has 72 divisors (see below), whose sum is σ = 2089229376. Its totient is φ = 224677152.

The previous prime is 814560641. The next prime is 814560683. The reversal of 814560642 is 246065418.

814560642 is a `hidden beast` number, since 8 + 1 + 4 + 5 + 6 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 814560597 and 814560606.

It is not an unprimeable number, because it can be changed into a prime (814560641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102123 + ... + 109809.

Almost surely, 2^814560642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814560642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044614688).

814560642 is an abundant number, since it is smaller than the sum of its proper divisors (1274668734).

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

814560642 is a wasteful number, since it uses less digits than its factorization.

814560642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 814560642 is about 28540.5087901390. The cubic root of 814560642 is about 933.9159816333.

The spelling of 814560642 in words is "eight hundred fourteen million, five hundred sixty thousand, six hundred forty-two".