96775200 has 108 divisors (see below), whose sum is σ = 341278938. Its totient is φ = 25804800.

The previous prime is 96775193. The next prime is 96775267. The reversal of 96775200 is 257769.

It can be written as a sum of positive squares in 3 ways, for example, as 53056656 + 43718544 = 7284^2 + 6612^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 480 + ... + 13920.

Almost surely, 2^96775200 is an apocalyptic number.

96775200 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 96775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170639469).

96775200 is an abundant number, since it is smaller than the sum of its proper divisors (244503738).

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

96775200 is a wasteful number, since it uses less digits than its factorization.

96775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467 (or 13451 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 96775200 is about 9837.4386910415. The cubic root of 96775200 is about 459.1148700781.

It can be divided in two parts, 967 and 75200, that added together give a palindrome (76167).

The spelling of 96775200 in words is "ninety-six million, seven hundred seventy-five thousand, two hundred".