96301440 has 128 divisors (see below), whose sum is σ = 341128800. Its totient is φ = 25675776.

The previous prime is 96301423. The next prime is 96301441. The reversal of 96301440 is 4410369.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96301441) 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, 14494 + ... + 20066.

Almost surely, 2^96301440 is an apocalyptic number.

96301440 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 96301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170564400).

96301440 is an abundant number, since it is smaller than the sum of its proper divisors (244827360).

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

96301440 is a wasteful number, since it uses less digits than its factorization.

96301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 96301440 is about 9813.3297101443. The cubic root of 96301440 is about 458.3644499719.

The spelling of 96301440 in words is "ninety-six million, three hundred one thousand, four hundred forty".