96013440 has 192 divisors, whose sum is σ = 337334400. Its totient is φ = 25159680.

The previous prime is 96013427. The next prime is 96013459. The reversal of 96013440 is 4431069.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454935 + ... + 455145.

It is an arithmetic number, because the mean of its divisors is an integer number (1756950).

Almost surely, 2^96013440 is an apocalyptic number.

96013440 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 96013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168667200).

96013440 is an abundant number, since it is smaller than the sum of its proper divisors (241320960).

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

96013440 is a wasteful number, since it uses less digits than its factorization.

96013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

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

The square root of 96013440 is about 9798.6448042574. The cubic root of 96013440 is about 457.9070640234.

It can be divided in two parts, 9601 and 3440, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 96013440 in words is "ninety-six million, thirteen thousand, four hundred forty".