97985440 has 96 divisors (see below), whose sum is σ = 267805440. Its totient is φ = 33183744.

The previous prime is 97985431. The next prime is 97985443. The reversal of 97985440 is 4458979.

It is a super-2 number, since 2×97985440² = 19202292903987200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97985443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99189 + ... + 100171.

It is an arithmetic number, because the mean of its divisors is an integer number (2789640).

Almost surely, 2^97985440 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 97985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902720).

97985440 is an abundant number, since it is smaller than the sum of its proper divisors (169820000).

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

97985440 is a wasteful number, since it uses less digits than its factorization.

97985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 97985440 is about 9898.7595182427. The cubic root of 97985440 is about 461.0207954381.

The spelling of 97985440 in words is "ninety-seven million, nine hundred eighty-five thousand, four hundred forty".