97842880 has 28 divisors (see below), whose sum is σ = 232989120. Its totient is φ = 39137024.

The previous prime is 97842859. The next prime is 97842883. The reversal of 97842880 is 8824879.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97842880.

It is not an unprimeable number, because it can be changed into a prime (97842883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152560 + ... + 153199.

It is an arithmetic number, because the mean of its divisors is an integer number (8321040).

Almost surely, 2^97842880 is an apocalyptic number.

It is an amenable number.

97842880 is an abundant number, since it is smaller than the sum of its proper divisors (135146240).

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

97842880 is a wasteful number, since it uses less digits than its factorization.

97842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305776 (or 305766 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The square root of 97842880 is about 9891.5559948878. Note that the first 3 decimals coincide. The cubic root of 97842880 is about 460.7971056595.

The spelling of 97842880 in words is "ninety-seven million, eight hundred forty-two thousand, eight hundred eighty".