80574642 has 64 divisors (see below), whose sum is σ = 186777600. Its totient is φ = 25719120.

The previous prime is 80574631. The next prime is 80574643. The reversal of 80574642 is 24647508.

80574642 is a `hidden beast` number, since 8 + 0 + 5 + 7 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 80574597 and 80574606.

It is not an unprimeable number, because it can be changed into a prime (80574643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212409 + ... + 212787.

It is an arithmetic number, because the mean of its divisors is an integer number (2918400).

Almost surely, 2^80574642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80574642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93388800).

80574642 is an abundant number, since it is smaller than the sum of its proper divisors (106202958).

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

80574642 is a wasteful number, since it uses less digits than its factorization.

80574642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 80574642 is about 8976.3378947096. The cubic root of 80574642 is about 431.9161681466.

The spelling of 80574642 in words is "eighty million, five hundred seventy-four thousand, six hundred forty-two".