99807552 has 140 divisors (see below), whose sum is σ = 318834516. Its totient is φ = 30689280.

The previous prime is 99807541. The next prime is 99807559. The reversal of 99807552 is 25570899.

It is a happy number.

99807552 is a `hidden beast` number, since 9 + 98 + 0 + 7 + 552 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27625536 + 72182016 = 5256^2 + 8496^2 .

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 99807498 and 99807507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99807559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66652 + ... + 68132.

Almost surely, 2^99807552 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 99807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159417258).

99807552 is an abundant number, since it is smaller than the sum of its proper divisors (219026964).

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

99807552 is a wasteful number, since it uses less digits than its factorization.

99807552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 99807552 is about 9990.3729660108. The cubic root of 99807552 is about 463.8609373198.

The spelling of 99807552 in words is "ninety-nine million, eight hundred seven thousand, five hundred fifty-two".