99777216 has 224 divisors, whose sum is σ = 349373952. Its totient is φ = 24330240.

The previous prime is 99777191. The next prime is 99777241. The reversal of 99777216 is 61277799.

It is an interprime number because it is at equal distance from previous prime (99777191) and next prime (99777241).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251130 + ... + 251526.

Almost surely, 2^99777216 is an apocalyptic number.

99777216 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 99777216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174686976).

99777216 is an abundant number, since it is smaller than the sum of its proper divisors (249596736).

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

99777216 is a wasteful number, since it uses less digits than its factorization.

99777216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 99777216 is about 9988.8545889907. The cubic root of 99777216 is about 463.8139364966.

The spelling of 99777216 in words is "ninety-nine million, seven hundred seventy-seven thousand, two hundred sixteen".