93901680 has 200 divisors, whose sum is σ = 334709232. Its totient is φ = 24385536.

The previous prime is 93901673. The next prime is 93901711. The reversal of 93901680 is 8610939.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 278472 + ... + 278808.

Almost surely, 2^93901680 is an apocalyptic number.

93901680 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 93901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167354616).

93901680 is an abundant number, since it is smaller than the sum of its proper divisors (240807552).

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

93901680 is a wasteful number, since it uses less digits than its factorization.

93901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 93901680 is about 9690.2879214191. The cubic root of 93901680 is about 454.5250125110.

The spelling of 93901680 in words is "ninety-three million, nine hundred one thousand, six hundred eighty".