91547680 has 72 divisors (see below), whose sum is σ = 251614188. Its totient is φ = 31385088.

The previous prime is 91547663. The next prime is 91547689. The reversal of 91547680 is 8674519.

It can be written as a sum of positive squares in 2 ways, for example, as 90098064 + 1449616 = 9492^2 + 1204^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (91547689) 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, 2002 + ... + 13678.

Almost surely, 2^91547680 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 91547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125807094).

91547680 is an abundant number, since it is smaller than the sum of its proper divisors (160066508).

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

91547680 is a wasteful number, since it uses less digits than its factorization.

91547680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11691 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 91547680 is about 9568.0551837874. The cubic root of 91547680 is about 450.6946965437.

The spelling of 91547680 in words is "ninety-one million, five hundred forty-seven thousand, six hundred eighty".