98800416 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 27624960.

The previous prime is 98800409. The next prime is 98800423. The reversal of 98800416 is 61400889.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98800409) and next prime (98800423).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39985 + ... + 42383.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^98800416 is an apocalyptic number.

98800416 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 98800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

98800416 is an abundant number, since it is smaller than the sum of its proper divisors (231420384).

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

98800416 is a wasteful number, since it uses less digits than its factorization.

98800416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 98800416 is about 9939.8398377439. The cubic root of 98800416 is about 462.2954202097.

The spelling of 98800416 in words is "ninety-eight million, eight hundred thousand, four hundred sixteen".