96540672 has 96 divisors (see below), whose sum is σ = 271252800. Its totient is φ = 30449664.

The previous prime is 96540667. The next prime is 96540677. The reversal of 96540672 is 27604569.

It is an interprime number because it is at equal distance from previous prime (96540667) and next prime (96540677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×96540672³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96540672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96540677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116323 + ... + 117149.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^96540672 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 96540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135626400).

96540672 is an abundant number, since it is smaller than the sum of its proper divisors (174712128).

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

96540672 is a wasteful number, since it uses less digits than its factorization.

96540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 96540672 is about 9825.5112844065. The cubic root of 96540672 is about 458.7436923702.

The spelling of 96540672 in words is "ninety-six million, five hundred forty thousand, six hundred seventy-two".