96261267600 has 135 divisors (see below), whose sum is σ = 334117951609. Its totient is φ = 25664707200.

The previous prime is 96261267589. The next prime is 96261267607. The reversal of 96261267600 is 676216269.

The square root of 96261267600 is 310260.

It is a perfect power (a square), and thus also a powerful number.

96261267600 is a `hidden beast` number, since 9 + 6 + 26 + 12 + 6 + 7 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34654056336 + 61607211264 = 186156^2 + 248208^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96261267607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18613015 + ... + 18618185.

Almost surely, 2^96261267600 is an apocalyptic number.

96261267600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96261267600 is the 310260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96261267600

96261267600 is an abundant number, since it is smaller than the sum of its proper divisors (237856684009).

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

96261267600 is an equidigital number, since it uses as much as digits as its factorization.

96261267600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10366 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 96261267600 in words is "ninety-six billion, two hundred sixty-one million, two hundred sixty-seven thousand, six hundred".