96641000 has 64 divisors (see below), whose sum is σ = 227644560. Its totient is φ = 38400000.

The previous prime is 96640987. The next prime is 96641029. The reversal of 96641000 is 14669.

It can be written as a sum of positive squares in 8 ways, for example, as 35832196 + 60808804 = 5986^2 + 7798^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240800 + ... + 241200.

Almost surely, 2^96641000 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 96641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113822280).

96641000 is an abundant number, since it is smaller than the sum of its proper divisors (131003560).

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

96641000 is a wasteful number, since it uses less digits than its factorization.

96641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 96641000 is about 9830.6154436027. The cubic root of 96641000 is about 458.9025508145.

Adding to 96641000 its reverse (14669), we get a palindrome (96655669).

The spelling of 96641000 in words is "ninety-six million, six hundred forty-one thousand".