99920016 has 225 divisors, whose sum is σ = 346542521. Its totient is φ = 26869248.

The previous prime is 99919997. The next prime is 99920021. The reversal of 99920016 is 61002999.

The square root of 99920016 is 9996.

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

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 22127616 = 8820^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5877640 + ... + 5877656.

Almost surely, 2^99920016 is an apocalyptic number.

99920016 is the 9996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99920016

99920016 is an abundant number, since it is smaller than the sum of its proper divisors (246622505).

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

99920016 is a wasteful number, since it uses less digits than its factorization.

99920016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The cubic root of 99920016 is about 464.0350994059.

Multiplying 99920016 by its sum of digits (36), we get a square (3597120576 = 59976²).

99920016 divided by its sum of digits (36) gives a square (2775556 = 1666²).

The spelling of 99920016 in words is "ninety-nine million, nine hundred twenty thousand, sixteen".