99985440 has 96 divisors (see below), whose sum is σ = 319757760. Its totient is φ = 26256384.

The previous prime is 99985427. The next prime is 99985441. The reversal of 99985440 is 4458999.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 99985440.

It is not an unprimeable number, because it can be changed into a prime (99985441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30606 + ... + 33714.

It is an arithmetic number, because the mean of its divisors is an integer number (3330810).

Almost surely, 2^99985440 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 99985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159878880).

99985440 is an abundant number, since it is smaller than the sum of its proper divisors (219772320).

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

99985440 is a wasteful number, since it uses less digits than its factorization.

99985440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 99985440 is about 9999.2719734989. The cubic root of 99985440 is about 464.1363550901.

The spelling of 99985440 in words is "ninety-nine million, nine hundred eighty-five thousand, four hundred forty".