99780160 has 56 divisors (see below), whose sum is σ = 240670080. Its totient is φ = 39396864.

The previous prime is 99780143. The next prime is 99780169. The reversal of 99780160 is 6108799.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (99780169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23307 + ... + 27253.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2^99780160 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 99780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335040).

99780160 is an abundant number, since it is smaller than the sum of its proper divisors (140889920).

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

99780160 is a wasteful number, since it uses less digits than its factorization.

99780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 99780160 is about 9989.0019521472. The cubic root of 99780160 is about 463.8184981753.

The spelling of 99780160 in words is "ninety-nine million, seven hundred eighty thousand, one hundred sixty".