91492000 has 96 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 36044800.

The previous prime is 91491989. The next prime is 91492001. The reversal of 91492000 is 29419.

It can be written as a sum of positive squares in 8 ways, for example, as 10419984 + 81072016 = 3228^2 + 9004^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (91492001) 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 15 ways as a sum of consecutive naturals, for example, 355872 + ... + 356128.

Almost surely, 2^91492000 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 91492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

91492000 is an abundant number, since it is smaller than the sum of its proper divisors (136714160).

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

91492000 is a wasteful number, since it uses less digits than its factorization.

91492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 91492000 is about 9565.1450590150. The cubic root of 91492000 is about 450.6033060245.

The spelling of 91492000 in words is "ninety-one million, four hundred ninety-two thousand".