96526800 has 90 divisors (see below), whose sum is σ = 334987302. Its totient is φ = 25739520.

The previous prime is 96526789. The next prime is 96526841. The reversal of 96526800 is 862569.

It can be written as a sum of positive squares in 3 ways, for example, as 13133376 + 83393424 = 3624^2 + 9132^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9807 + ... + 17006.

Almost surely, 2^96526800 is an apocalyptic number.

96526800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96526800 is an abundant number, since it is smaller than the sum of its proper divisors (238460502).

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

96526800 is a wasteful number, since it uses less digits than its factorization.

96526800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837 (or 26823 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 96526800 is about 9824.8053415831. The cubic root of 96526800 is about 458.7217189118.

The spelling of 96526800 in words is "ninety-six million, five hundred twenty-six thousand, eight hundred".