97640000 has 70 divisors (see below), whose sum is σ = 242214654. Its totient is φ = 39040000.

The previous prime is 97639999. The next prime is 97640017. The reversal of 97640000 is 4679.

It can be written as a sum of positive squares in 5 ways, for example, as 60964864 + 36675136 = 7808^2 + 6056^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 38780 + ... + 41220.

Almost surely, 2^97640000 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 97640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121107327).

97640000 is an abundant number, since it is smaller than the sum of its proper divisors (144574654).

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

97640000 is an equidigital number, since it uses as much as digits as its factorization.

97640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 97640000 is about 9881.2954616285. The cubic root of 97640000 is about 460.4783932948.

Adding to 97640000 its reverse (4679), we get a palindrome (97644679).

The spelling of 97640000 in words is "ninety-seven million, six hundred forty thousand".