578310642 has 144 divisors (see below), whose sum is σ = 1621331712. Its totient is φ = 147510720.

The previous prime is 578310631. The next prime is 578310647. The reversal of 578310642 is 246013875.

578310642 is a `hidden beast` number, since 5 + 7 + 8 + 3 + 1 + 0 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 578310597 and 578310606.

It is not an unprimeable number, because it can be changed into a prime (578310647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354633 + ... + 356259.

It is an arithmetic number, because the mean of its divisors is an integer number (11259248).

Almost surely, 2^578310642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 578310642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810665856).

578310642 is an abundant number, since it is smaller than the sum of its proper divisors (1043021070).

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

578310642 is a wasteful number, since it uses less digits than its factorization.

578310642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1683 counting only the distinct ones).

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

The square root of 578310642 is about 24048.0901944416. The cubic root of 578310642 is about 833.1446209840.

The spelling of 578310642 in words is "five hundred seventy-eight million, three hundred ten thousand, six hundred forty-two".