96845440 has 48 divisors (see below), whose sum is σ = 232117830. Its totient is φ = 38638592.

The previous prime is 96845431. The next prime is 96845449. The reversal of 96845440 is 4454869.

It is an interprime number because it is at equal distance from previous prime (96845431) and next prime (96845449).

It can be written as a sum of positive squares in 3 ways, for example, as 52649536 + 44195904 = 7256^2 + 6648^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 96845393 and 96845402.

It is not an unprimeable number, because it can be changed into a prime (96845449) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 248766 + ... + 249154.

Almost surely, 2^96845440 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 96845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116058915).

96845440 is an abundant number, since it is smaller than the sum of its proper divisors (135272390).

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

96845440 is an frugal number, since it uses more digits than its factorization.

96845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 96845440 is about 9841.0080784440. The cubic root of 96845440 is about 459.2259192919.

Multiplying 96845440 by its sum of digits (40), we get a square (3873817600 = 62240²).

96845440 divided by its sum of digits (40) gives a square (2421136 = 1556²).

The spelling of 96845440 in words is "ninety-six million, eight hundred forty-five thousand, four hundred forty".