96636672 has 288 divisors, whose sum is σ = 329656320. Its totient is φ = 27648000.

The previous prime is 96636667. The next prime is 96636677. The reversal of 96636672 is 27663669.

96636672 is a `hidden beast` number, since 9 + 6 + 636 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (96636667) and next prime (96636677).

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (489888) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96636677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356972 + ... + 2357012.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^96636672 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 96636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164828160).

96636672 is an abundant number, since it is smaller than the sum of its proper divisors (233019648).

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

96636672 is a wasteful number, since it uses less digits than its factorization.

96636672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 96636672 is about 9830.3953124989. The cubic root of 96636672 is about 458.8957001683.

It can be divided in two parts, 9663667 and 2, that added together give a palindrome (9663669).

The spelling of 96636672 in words is "ninety-six million, six hundred thirty-six thousand, six hundred seventy-two".