99780096 has 160 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 28975104.

The previous prime is 99780091. The next prime is 99780137. The reversal of 99780096 is 69008799.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99780091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379261 + ... + 379523.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^99780096 is an apocalyptic number.

99780096 is a gapful number since it is divisible by the number (96) 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 99780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

99780096 is an abundant number, since it is smaller than the sum of its proper divisors (202700544).

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

99780096 is a wasteful number, since it uses less digits than its factorization.

99780096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 99780096 is about 9988.9987486234. The cubic root of 99780096 is about 463.8183990093.

The spelling of 99780096 in words is "ninety-nine million, seven hundred eighty thousand, ninety-six".