99753760 has 48 divisors (see below), whose sum is σ = 245923776. Its totient is φ = 38165248.

The previous prime is 99753757. The next prime is 99753763. The reversal of 99753760 is 6735799.

It is an interprime number because it is at equal distance from previous prime (99753757) and next prime (99753763).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 99753760.

It is not an unprimeable number, because it can be changed into a prime (99753763) 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 7 ways as a sum of consecutive naturals, for example, 9874 + ... + 17233.

It is an arithmetic number, because the mean of its divisors is an integer number (5123412).

Almost surely, 2^99753760 is an apocalyptic number.

It is an amenable number.

99753760 is an abundant number, since it is smaller than the sum of its proper divisors (146170016).

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

99753760 is a wasteful number, since it uses less digits than its factorization.

99753760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27145 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 46.

The square root of 99753760 is about 9987.6804113868. The cubic root of 99753760 is about 463.7775886116. Note that the first 3 decimals are identical.

The spelling of 99753760 in words is "ninety-nine million, seven hundred fifty-three thousand, seven hundred sixty".