97845440 has 252 divisors, whose sum is σ = 308902608. Its totient is φ = 28892160.

The previous prime is 97845439. The next prime is 97845481. The reversal of 97845440 is 4454879.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5149751 + ... + 5149769.

It is an arithmetic number, because the mean of its divisors is an integer number (1225804).

Almost surely, 2^97845440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154451304).

97845440 is an abundant number, since it is smaller than the sum of its proper divisors (211057168).

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

97845440 is a wasteful number, since it uses less digits than its factorization.

97845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 97845440 is about 9891.6853973426. The cubic root of 97845440 is about 460.8011244507.

The spelling of 97845440 in words is "ninety-seven million, eight hundred forty-five thousand, four hundred forty".