91449600 has 216 divisors, whose sum is σ = 329999712. Its totient is φ = 22118400.

The previous prime is 91449593. The next prime is 91449601. The reversal of 91449600 is 694419.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91449601) 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 23 ways as a sum of consecutive naturals, for example, 210984 + ... + 211416.

Almost surely, 2^91449600 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 91449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164999856).

91449600 is an abundant number, since it is smaller than the sum of its proper divisors (238550112).

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

91449600 is a wasteful number, since it uses less digits than its factorization.

91449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 91449600 is about 9562.9284217754. The cubic root of 91449600 is about 450.5336877982.

The spelling of 91449600 in words is "ninety-one million, four hundred forty-nine thousand, six hundred".