96768900 has 108 divisors (see below), whose sum is σ = 319337200. Its totient is φ = 24442560.

The previous prime is 96768883. The next prime is 96768923. The reversal of 96768900 is 986769.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 35 ways as a sum of consecutive naturals, for example, 14271 + ... + 19929.

Almost surely, 2^96768900 is an apocalyptic number.

96768900 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 96768900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159668600).

96768900 is an abundant number, since it is smaller than the sum of its proper divisors (222568300).

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

96768900 is a wasteful number, since it uses less digits than its factorization.

96768900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 96768900 is about 9837.1184805308. The cubic root of 96768900 is about 459.1049071729.

The spelling of 96768900 in words is "ninety-six million, seven hundred sixty-eight thousand, nine hundred".