99653664 has 144 divisors (see below), whose sum is σ = 300839616. Its totient is φ = 28807680.

The previous prime is 99653611. The next prime is 99653669. The reversal of 99653664 is 46635699.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (99653669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266982 + ... + 267354.

It is an arithmetic number, because the mean of its divisors is an integer number (2089164).

Almost surely, 2^99653664 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 99653664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150419808).

99653664 is an abundant number, since it is smaller than the sum of its proper divisors (201185952).

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

99653664 is a wasteful number, since it uses less digits than its factorization.

99653664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 99653664 is about 9982.6681804015. The cubic root of 99653664 is about 463.6224137846.

The spelling of 99653664 in words is "ninety-nine million, six hundred fifty-three thousand, six hundred sixty-four".