98793408 has 84 divisors (see below), whose sum is σ = 304095912. Its totient is φ = 28224000.

The previous prime is 98793397. The next prime is 98793437. The reversal of 98793408 is 80439789.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×98793408³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4158 + ... + 14658.

Almost surely, 2^98793408 is an apocalyptic number.

98793408 is a gapful number since it is divisible by the number (98) 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 98793408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152047956).

98793408 is an abundant number, since it is smaller than the sum of its proper divisors (205302504).

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

98793408 is a wasteful number, since it uses less digits than its factorization.

98793408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 98793408 is about 9939.4873107218. The cubic root of 98793408 is about 462.2844896116.

It can be divided in two parts, 987 and 93408, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 98793408 in words is "ninety-eight million, seven hundred ninety-three thousand, four hundred eight".