99221760 has 432 divisors, whose sum is σ = 401768640. Its totient is φ = 23224320.

The previous prime is 99221729. The next prime is 99221767. The reversal of 99221760 is 6712299.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99221767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3421426 + ... + 3421454.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^99221760 is an apocalyptic number.

99221760 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 99221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

99221760 is an abundant number, since it is smaller than the sum of its proper divisors (302546880).

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

99221760 is a wasteful number, since it uses less digits than its factorization.

99221760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 99221760 is about 9961.0119967802. The cubic root of 99221760 is about 462.9516561845.

The spelling of 99221760 in words is "ninety-nine million, two hundred twenty-one thousand, seven hundred sixty".