91001600 has 108 divisors (see below), whose sum is σ = 230011320. Its totient is φ = 35635200.

The previous prime is 91001567. The next prime is 91001641. The reversal of 91001600 is 610019.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377480 + ... + 377720.

Almost surely, 2^91001600 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 91001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115005660).

91001600 is an abundant number, since it is smaller than the sum of its proper divisors (139009720).

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

91001600 is a wasteful number, since it uses less digits than its factorization.

91001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 91001600 is about 9539.4758765878. The cubic root of 91001600 is about 449.7967806683.

Adding to 91001600 its reverse (610019), we get a palindrome (91611619).

The spelling of 91001600 in words is "ninety-one million, one thousand, six hundred".