99014400 has 270 divisors, whose sum is σ = 368018112. Its totient is φ = 26265600.

The previous prime is 99014393. The next prime is 99014411. The reversal of 99014400 is 441099.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 518305 + ... + 518495.

Almost surely, 2^99014400 is an apocalyptic number.

99014400 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 99014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184009056).

99014400 is an abundant number, since it is smaller than the sum of its proper divisors (269003712).

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

99014400 is a wasteful number, since it uses less digits than its factorization.

99014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 99014400 is about 9950.5979719814. The cubic root of 99014400 is about 462.6289292370.

Adding to 99014400 its reverse (441099), we get a palindrome (99455499).

The spelling of 99014400 in words is "ninety-nine million, fourteen thousand, four hundred".