93801600 has 144 divisors (see below), whose sum is σ = 334808370. Its totient is φ = 25006080.

The previous prime is 93801593. The next prime is 93801601. The reversal of 93801600 is 610839.

It can be written as a sum of positive squares in 3 ways, for example, as 83612736 + 10188864 = 9144^2 + 3192^2 .

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

It is a hoax number, since the sum of its digits (27) 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 (93801601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27172 + ... + 30428.

Almost surely, 2^93801600 is an apocalyptic number.

93801600 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 93801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167404185).

93801600 is an abundant number, since it is smaller than the sum of its proper divisors (241006770).

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

93801600 is a wasteful number, since it uses less digits than its factorization.

93801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3267 counting only the distinct ones).

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

The square root of 93801600 is about 9685.1226115109. The cubic root of 93801600 is about 454.3634781862.

The spelling of 93801600 in words is "ninety-three million, eight hundred one thousand, six hundred".