97585440 has 96 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 24489984.

The previous prime is 97585429. The next prime is 97585441. The reversal of 97585440 is 4458579.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 97585392 and 97585401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97585441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2^97585440 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 97585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

97585440 is an abundant number, since it is smaller than the sum of its proper divisors (227917920).

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

97585440 is a wasteful number, since it uses less digits than its factorization.

97585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11994 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 97585440 is about 9878.5343042376. The cubic root of 97585440 is about 460.3926074754.

The spelling of 97585440 in words is "ninety-seven million, five hundred eighty-five thousand, four hundred forty".