93703680 has 360 divisors, whose sum is σ = 382053672. Its totient is φ = 21159936.

The previous prime is 93703663. The next prime is 93703693. The reversal of 93703680 is 8630739.

It is a tau number, because it is divible by the number of its divisors (360).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128919 + ... + 1129001.

Almost surely, 2^93703680 is an apocalyptic number.

93703680 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 93703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191026836).

93703680 is an abundant number, since it is smaller than the sum of its proper divisors (288349992).

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

93703680 is a wasteful number, since it uses less digits than its factorization.

93703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 93703680 is about 9680.0661154767. The cubic root of 93703680 is about 454.2053189709.

The spelling of 93703680 in words is "ninety-three million, seven hundred three thousand, six hundred eighty".