93721680 has 480 divisors, whose sum is σ = 389975040. Its totient is φ = 19906560.

The previous prime is 93721679. The next prime is 93721709. The reversal of 93721680 is 8612739.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3023265 + ... + 3023295.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^93721680 is an apocalyptic number.

93721680 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 93721680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

93721680 is an abundant number, since it is smaller than the sum of its proper divisors (296253360).

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

93721680 is a wasteful number, since it uses less digits than its factorization.

93721680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 93721680 is about 9680.9958165470. The cubic root of 93721680 is about 454.2344006189.

The spelling of 93721680 in words is "ninety-three million, seven hundred twenty-one thousand, six hundred eighty".