91681200 has 240 divisors, whose sum is σ = 351956640. Its totient is φ = 22533120.

The previous prime is 91681193. The next prime is 91681223. The reversal of 91681200 is 218619.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140074 + ... + 140726.

It is an arithmetic number, because the mean of its divisors is an integer number (1466486).

Almost surely, 2^91681200 is an apocalyptic number.

91681200 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 91681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175978320).

91681200 is an abundant number, since it is smaller than the sum of its proper divisors (260275440).

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

91681200 is a wasteful number, since it uses less digits than its factorization.

91681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 91681200 is about 9575.0300260626. The cubic root of 91681200 is about 450.9136990865.

Adding to 91681200 its reverse (218619), we get a palindrome (91899819).

The spelling of 91681200 in words is "ninety-one million, six hundred eighty-one thousand, two hundred".