96833440 has 96 divisors (see below), whose sum is σ = 256483584. Its totient is φ = 34237440.

The previous prime is 96833437. The next prime is 96833441. The reversal of 96833440 is 4433869.

96833440 = T₁₂₆₅ + T₁₂₆₆ + ... + T₁₃₇₅.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 96833440.

It is not an unprimeable number, because it can be changed into a prime (96833441) 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 15 ways as a sum of consecutive naturals, for example, 64377 + ... + 65863.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^96833440 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 96833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128241792).

96833440 is an abundant number, since it is smaller than the sum of its proper divisors (159650144).

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

96833440 is a wasteful number, since it uses less digits than its factorization.

96833440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 96833440 is about 9840.3983659199. The cubic root of 96833440 is about 459.2069511345.

The spelling of 96833440 in words is "ninety-six million, eight hundred thirty-three thousand, four hundred forty".