91643600 has 60 divisors (see below), whose sum is σ = 233142444. Its totient is φ = 34498560.

The previous prime is 91643551. The next prime is 91643609. The reversal of 91643600 is 634619.

It can be written as a sum of positive squares in 6 ways, for example, as 937024 + 90706576 = 968^2 + 9524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91643609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62 + ... + 13538.

Almost surely, 2^91643600 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 91643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116571222).

91643600 is an abundant number, since it is smaller than the sum of its proper divisors (141498844).

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

91643600 is a wasteful number, since it uses less digits than its factorization.

91643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13512 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 91643600 is about 9573.0663843932. The cubic root of 91643600 is about 450.8520482306.

The spelling of 91643600 in words is "ninety-one million, six hundred forty-three thousand, six hundred".