91245600 has 432 divisors, whose sum is σ = 365601600. Its totient is φ = 21288960.

The previous prime is 91245599. The next prime is 91245611. The reversal of 91245600 is 654219.

91245600 is a `hidden beast` number, since 9 + 12 + 45 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3146386 + ... + 3146414.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^91245600 is an apocalyptic number.

91245600 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 91245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

91245600 is an abundant number, since it is smaller than the sum of its proper divisors (274356000).

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

91245600 is a wasteful number, since it uses less digits than its factorization.

91245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 91245600 is about 9552.2562779691. The cubic root of 91245600 is about 450.1984310060.

Adding to 91245600 its reverse (654219), we get a palindrome (91899819).

The spelling of 91245600 in words is "ninety-one million, two hundred forty-five thousand, six hundred".