99026400 has 288 divisors, whose sum is σ = 365976576. Its totient is φ = 23232000.

The previous prime is 99026399. The next prime is 99026413. The reversal of 99026400 is 462099.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3194385 + ... + 3194415.

It is an arithmetic number, because the mean of its divisors is an integer number (1270752).

Almost surely, 2^99026400 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 99026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182988288).

99026400 is an abundant number, since it is smaller than the sum of its proper divisors (266950176).

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

99026400 is a wasteful number, since it uses less digits than its factorization.

99026400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 99026400 is about 9951.2009325508. The cubic root of 99026400 is about 462.6476178415.

Adding to 99026400 its reverse (462099), we get a palindrome (99488499).

The spelling of 99026400 in words is "ninety-nine million, twenty-six thousand, four hundred".