99927360 has 336 divisors, whose sum is σ = 394417296. Its totient is φ = 23003136.

The previous prime is 99927349. The next prime is 99927361. The reversal of 99927360 is 6372999.

It can be written as a sum of positive squares in 8 ways, for example, as 4981824 + 94945536 = 2232^2 + 9744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99927361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636402 + ... + 636558.

It is an arithmetic number, because the mean of its divisors is an integer number (1173861).

Almost surely, 2^99927360 is an apocalyptic number.

99927360 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 99927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197208648).

99927360 is an abundant number, since it is smaller than the sum of its proper divisors (294489936).

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

99927360 is a wasteful number, since it uses less digits than its factorization.

99927360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99927360 is about 9996.3673401891. The cubic root of 99927360 is about 464.0464677997.

The spelling of 99927360 in words is "ninety-nine million, nine hundred twenty-seven thousand, three hundred sixty".