93806496 has 288 divisors, whose sum is σ = 335462400. Its totient is φ = 24261120.

The previous prime is 93806473. The next prime is 93806539. The reversal of 93806496 is 69460839.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187385 + ... + 1187463.

It is an arithmetic number, because the mean of its divisors is an integer number (1164800).

Almost surely, 2^93806496 is an apocalyptic number.

93806496 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 93806496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167731200).

93806496 is an abundant number, since it is smaller than the sum of its proper divisors (241655904).

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

93806496 is a wasteful number, since it uses less digits than its factorization.

93806496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 93806496 is about 9685.3753670160. The cubic root of 93806496 is about 454.3713832570.

It can be divided in two parts, 9380 and 6496, that added together give a square (15876 = 126²).

The spelling of 93806496 in words is "ninety-three million, eight hundred six thousand, four hundred ninety-six".