91464 has 32 divisors (see below), whose sum is σ = 237120. Its totient is φ = 29376.

The previous prime is 91463. The next prime is 91493. The reversal of 91464 is 46419.

91464 = T₅₁ + T₅₂ + ... + T₈₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91464.

It is not an unprimeable number, because it can be changed into a prime (91463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837 + ... + 939.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2⁹¹⁴⁶⁴ 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 91464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118560).

91464 is an abundant number, since it is smaller than the sum of its proper divisors (145656).

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

91464 is a wasteful number, since it uses less digits than its factorization.

91464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 91464 is about 302.4301572264. The cubic root of 91464 is about 45.0557334137.

It can be divided in two parts, 91 and 464, that multiplied together give a palindrome (42224).

The spelling of 91464 in words is "ninety-one thousand, four hundred sixty-four".