93400416 has 144 divisors (see below), whose sum is σ = 281277360. Its totient is φ = 29352960.

The previous prime is 93400403. The next prime is 93400423. The reversal of 93400416 is 61400439.

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

It is a self number, because there is not a number n which added to its sum of digits gives 93400416.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 442551 + ... + 442761.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 2^93400416 is an apocalyptic number.

93400416 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 93400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140638680).

93400416 is an abundant number, since it is smaller than the sum of its proper divisors (187876944).

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

93400416 is a wasteful number, since it uses less digits than its factorization.

93400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 93400416 is about 9664.3890650160. The cubic root of 93400416 is about 453.7147904287.

The spelling of 93400416 in words is "ninety-three million, four hundred thousand, four hundred sixteen".