91600 has 30 divisors (see below), whose sum is σ = 221030. Its totient is φ = 36480.

The previous prime is 91591. The next prime is 91621. The reversal of 91600 is 619.

It can be written as a sum of positive squares in 3 ways, for example, as 21904 + 69696 = 148^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

91600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286 + ... + 514.

2⁹¹⁶⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110515).

91600 is an abundant number, since it is smaller than the sum of its proper divisors (129430).

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

91600 is a wasteful number, since it uses less digits than its factorization.

91600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 91600 is about 302.6549190084. The cubic root of 91600 is about 45.0780538354.

It can be divided in two parts, 9 and 1600, that multiplied together give a square (14400 = 120²).

The spelling of 91600 in words is "ninety-one thousand, six hundred".