91487200 has 216 divisors, whose sum is σ = 279263376. Its totient is φ = 28569600.

The previous prime is 91487171. The next prime is 91487219. The reversal of 91487200 is 278419.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2951185 + ... + 2951215.

It is an arithmetic number, because the mean of its divisors is an integer number (1292886).

Almost surely, 2^91487200 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 91487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139631688).

91487200 is an abundant number, since it is smaller than the sum of its proper divisors (187776176).

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

91487200 is a wasteful number, since it uses less digits than its factorization.

91487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 91487200 is about 9564.8941447357. The cubic root of 91487200 is about 450.5954257957.

The spelling of 91487200 in words is "ninety-one million, four hundred eighty-seven thousand, two hundred".