93640320 has 128 divisors (see below), whose sum is σ = 331704000. Its totient is φ = 24966144.

The previous prime is 93640279. The next prime is 93640331. The reversal of 93640320 is 2304639.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 14571 + ... + 19989.

Almost surely, 2^93640320 is an apocalyptic number.

93640320 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 93640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165852000).

93640320 is an abundant number, since it is smaller than the sum of its proper divisors (238063680).

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

93640320 is a wasteful number, since it uses less digits than its factorization.

93640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 93640320 is about 9676.7928571402. The cubic root of 93640320 is about 454.1029219329.

Adding to 93640320 its reverse (2304639), we get a palindrome (95944959).

The spelling of 93640320 in words is "ninety-three million, six hundred forty thousand, three hundred twenty".