91516400 has 60 divisors (see below), whose sum is σ = 221991000. Its totient is φ = 36253440.

The previous prime is 91516391. The next prime is 91516441. The reversal of 91516400 is 461519.

It is a self number, because there is not a number n which added to its sum of digits gives 91516400.

It is a congruent number.

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, 42551 + ... + 44649.

It is an arithmetic number, because the mean of its divisors is an integer number (3699850).

Almost surely, 2^91516400 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 91516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110995500).

91516400 is an abundant number, since it is smaller than the sum of its proper divisors (130474600).

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

91516400 is a wasteful number, since it uses less digits than its factorization.

91516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 91516400 is about 9566.4204381785. The cubic root of 91516400 is about 450.6433595936.

Adding to 91516400 its reverse (461519), we get a palindrome (91977919).

It can be divided in two parts, 9151 and 6400, that added together give a palindrome (15551).

The spelling of 91516400 in words is "ninety-one million, five hundred sixteen thousand, four hundred".