96591440 has 160 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 32348160.

The previous prime is 96591419. The next prime is 96591461. The reversal of 96591440 is 4419569.

It is an interprime number because it is at equal distance from previous prime (96591419) and next prime (96591461).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 96591394 and 96591403.

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 31 ways as a sum of consecutive naturals, for example, 886106 + ... + 886214.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^96591440 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 96591440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

96591440 is an abundant number, since it is smaller than the sum of its proper divisors (168570160).

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

96591440 is a wasteful number, since it uses less digits than its factorization.

96591440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 96591440 is about 9828.0944236408. The cubic root of 96591440 is about 458.8240917088.

The spelling of 96591440 in words is "ninety-six million, five hundred ninety-one thousand, four hundred forty".