96895440 has 200 divisors, whose sum is σ = 354694560. Its totient is φ = 24447744.

The previous prime is 96895417. The next prime is 96895453. The reversal of 96895440 is 4459869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 122727 + ... + 123513.

Almost surely, 2^96895440 is an apocalyptic number.

96895440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96895440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177347280).

96895440 is an abundant number, since it is smaller than the sum of its proper divisors (257799120).

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

96895440 is a wasteful number, since it uses less digits than its factorization.

96895440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96895440 is about 9843.5481407874. The cubic root of 96895440 is about 459.3049364199.

It can be divided in two parts, 9689 and 5440, that added together give a square (15129 = 123²).

The spelling of 96895440 in words is "ninety-six million, eight hundred ninety-five thousand, four hundred forty".