99400896 has 168 divisors, whose sum is σ = 330464160. Its totient is φ = 27979776.

The previous prime is 99400841. The next prime is 99400897. The reversal of 99400896 is 69800499.

99400896 = T₂₂₄ + T₂₂₅ + ... + T₈₄₆.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (99400897) 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, 358710 + ... + 358986.

Almost surely, 2^99400896 is an apocalyptic number.

99400896 is a gapful number since it is divisible by the number (96) 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 99400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165232080).

99400896 is an abundant number, since it is smaller than the sum of its proper divisors (231063264).

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

99400896 is a wasteful number, since it uses less digits than its factorization.

99400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 99400896 is about 9969.9997993982. Note that the first 3 decimals coincide. The cubic root of 99400896 is about 463.2300946021.

The spelling of 99400896 in words is "ninety-nine million, four hundred thousand, eight hundred ninety-six".