91903680 has 224 divisors, whose sum is σ = 354055680. Its totient is φ = 22256640.

The previous prime is 91903657. The next prime is 91903681. The reversal of 91903680 is 8630919.

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

It is not an unprimeable number, because it can be changed into a prime (91903681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94557 + ... + 95523.

Almost surely, 2^91903680 is an apocalyptic number.

91903680 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 91903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177027840).

91903680 is an abundant number, since it is smaller than the sum of its proper divisors (262152000).

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

91903680 is a wasteful number, since it uses less digits than its factorization.

91903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 988 counting only the distinct ones).

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

The square root of 91903680 is about 9586.6407046473. The cubic root of 91903680 is about 451.2781440027.

The spelling of 91903680 in words is "ninety-one million, nine hundred three thousand, six hundred eighty".