93199680 has 448 divisors, whose sum is σ = 397946880. Its totient is φ = 20072448.

The previous prime is 93199663. The next prime is 93199699. The reversal of 93199680 is 8699139.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 1391007 + ... + 1391073.

Almost surely, 2^93199680 is an apocalyptic number.

93199680 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 93199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198973440).

93199680 is an abundant number, since it is smaller than the sum of its proper divisors (304747200).

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

93199680 is a wasteful number, since it uses less digits than its factorization.

93199680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 93199680 is about 9653.9981354877. The cubic root of 93199680 is about 453.3895162971.

The spelling of 93199680 in words is "ninety-three million, one hundred ninety-nine thousand, six hundred eighty".