99360768 has 112 divisors (see below), whose sum is σ = 286243776. Its totient is φ = 30474240.

The previous prime is 99360761. The next prime is 99360809. The reversal of 99360768 is 86706399.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (99360761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319333 + ... + 319643.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2^99360768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143121888).

99360768 is an abundant number, since it is smaller than the sum of its proper divisors (186883008).

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

99360768 is a wasteful number, since it uses less digits than its factorization.

99360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 99360768 is about 9967.9871589002. The cubic root of 99360768 is about 463.1677511024.

It can be divided in two parts, 99360 and 768, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 99360768 in words is "ninety-nine million, three hundred sixty thousand, seven hundred sixty-eight".