96958800 has 180 divisors, whose sum is σ = 351403104. Its totient is φ = 24710400.

The previous prime is 96958789. The next prime is 96958817. The reversal of 96958800 is 885969.

96958800 is a `hidden beast` number, since 9 + 69 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82215 + ... + 83385.

Almost surely, 2^96958800 is an apocalyptic number.

96958800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175701552).

96958800 is an abundant number, since it is smaller than the sum of its proper divisors (254444304).

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

96958800 is a wasteful number, since it uses less digits than its factorization.

96958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 96958800 is about 9846.7659665496. The cubic root of 96958800 is about 459.4050278858.

The spelling of 96958800 in words is "ninety-six million, nine hundred fifty-eight thousand, eight hundred".