99642400 has 216 divisors, whose sum is σ = 291637584. Its totient is φ = 32947200.

The previous prime is 99642343. The next prime is 99642407. The reversal of 99642400 is 424699.

It is not an unprimeable number, because it can be changed into a prime (99642407) 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 35 ways as a sum of consecutive naturals, for example, 1487167 + ... + 1487233.

It is an arithmetic number, because the mean of its divisors is an integer number (1350174).

Almost surely, 2^99642400 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 99642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145818792).

99642400 is an abundant number, since it is smaller than the sum of its proper divisors (191995184).

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

99642400 is a wasteful number, since it uses less digits than its factorization.

99642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 99642400 is about 9982.1039866353. The cubic root of 99642400 is about 463.6049451523.

The spelling of 99642400 in words is "ninety-nine million, six hundred forty-two thousand, four hundred".