91466400 has 144 divisors (see below), whose sum is σ = 310855104. Its totient is φ = 23316480.

The previous prime is 91466383. The next prime is 91466467. The reversal of 91466400 is 466419.

It is a super-2 number, since 2×91466400² = 16732204657920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54372 + ... + 56028.

It is an arithmetic number, because the mean of its divisors is an integer number (2158716).

Almost surely, 2^91466400 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 91466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155427552).

91466400 is an abundant number, since it is smaller than the sum of its proper divisors (219388704).

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

91466400 is a wasteful number, since it uses less digits than its factorization.

91466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 91466400 is about 9563.8067734559. The cubic root of 91466400 is about 450.5612749519.

The spelling of 91466400 in words is "ninety-one million, four hundred sixty-six thousand, four hundred".