99736560 has 360 divisors, whose sum is σ = 426709296. Its totient is φ = 20643840.

The previous prime is 99736547. The next prime is 99736561. The reversal of 99736560 is 6563799.

It is a tau number, because it is divible by the number of its divisors (360).

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 (99736561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387952 + ... + 388208.

Almost surely, 2^99736560 is an apocalyptic number.

99736560 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 99736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213354648).

99736560 is an abundant number, since it is smaller than the sum of its proper divisors (326972736).

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

99736560 is a wasteful number, since it uses less digits than its factorization.

99736560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 99736560 is about 9986.8193134751. The cubic root of 99736560 is about 463.7509315277.

The spelling of 99736560 in words is "ninety-nine million, seven hundred thirty-six thousand, five hundred sixty".