91424000 has 72 divisors (see below), whose sum is σ = 227828328. Its totient is φ = 36556800.

The previous prime is 91423961. The next prime is 91424009. The reversal of 91424000 is 42419.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 90022144 = 1184^2 + 9488^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91424009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30572 + ... + 33428.

Almost surely, 2^91424000 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 91424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113914164).

91424000 is an abundant number, since it is smaller than the sum of its proper divisors (136404328).

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

91424000 is an equidigital number, since it uses as much as digits as its factorization.

91424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 91424000 is about 9561.5898259651. The cubic root of 91424000 is about 450.4916437331.

Adding to 91424000 its reverse (42419), we get a palindrome (91466419).

The spelling of 91424000 in words is "ninety-one million, four hundred twenty-four thousand".