96279040 has 160 divisors (see below), whose sum is σ = 272232576. Its totient is φ = 32194560.

The previous prime is 96279037. The next prime is 96279049. The reversal of 96279040 is 4097269.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (96279049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 365949 + ... + 366211.

Almost surely, 2^96279040 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 96279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136116288).

96279040 is an abundant number, since it is smaller than the sum of its proper divisors (175953536).

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

96279040 is a wasteful number, since it uses less digits than its factorization.

96279040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 96279040 is about 9812.1883389996. The cubic root of 96279040 is about 458.3289082401.

The spelling of 96279040 in words is "ninety-six million, two hundred seventy-nine thousand, forty".