91536400 has 30 divisors (see below), whose sum is σ = 219917162. Its totient is φ = 36614400.

The previous prime is 91536391. The next prime is 91536407. The reversal of 91536400 is 463519.

It can be written as a sum of positive squares in 3 ways, for example, as 1893376 + 89643024 = 1376^2 + 9468^2 .

It is not an unprimeable number, because it can be changed into a prime (91536407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114021 + ... + 114820.

Almost surely, 2^91536400 is an apocalyptic number.

It is an amenable number.

91536400 is an abundant number, since it is smaller than the sum of its proper divisors (128380762).

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

91536400 is a wasteful number, since it uses less digits than its factorization.

91536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228859 (or 228848 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 91536400 is about 9567.4657041455. The cubic root of 91536400 is about 450.6761850788.

Adding to 91536400 its reverse (463519), we get a palindrome (91999919).

The spelling of 91536400 in words is "ninety-one million, five hundred thirty-six thousand, four hundred".