96958000 has 40 divisors (see below), whose sum is σ = 234449280. Its totient is φ = 38782400.

The previous prime is 96957977. The next prime is 96958003. The reversal of 96958000 is 85969.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (96958003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22240 + ... + 26239.

It is an arithmetic number, because the mean of its divisors is an integer number (5861232).

Almost surely, 2^96958000 is an apocalyptic number.

It is an amenable number.

96958000 is an abundant number, since it is smaller than the sum of its proper divisors (137491280).

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

96958000 is a wasteful number, since it uses less digits than its factorization.

96958000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48502 (or 48486 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 96958000 is about 9846.7253439913. The cubic root of 96958000 is about 459.4037643765.

The spelling of 96958000 in words is "ninety-six million, nine hundred fifty-eight thousand".