91534400 has 84 divisors (see below), whose sum is σ = 237164880. Its totient is φ = 34675200.

The previous prime is 91534397. The next prime is 91534403. The reversal of 91534400 is 443519.

It is an interprime number because it is at equal distance from previous prime (91534397) and next prime (91534403).

It is a self number, because there is not a number n which added to its sum of digits gives 91534400.

It is not an unprimeable number, because it can be changed into a prime (91534403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28895 + ... + 31905.

Almost surely, 2^91534400 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 91534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118582440).

91534400 is an abundant number, since it is smaller than the sum of its proper divisors (145630480).

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

91534400 is a wasteful number, since it uses less digits than its factorization.

91534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 91534400 is about 9567.3611826877. The cubic root of 91534400 is about 450.6729027455.

Adding to 91534400 its reverse (443519), we get a palindrome (91977919).

The spelling of 91534400 in words is "ninety-one million, five hundred thirty-four thousand, four hundred".