96138288 has 60 divisors (see below), whose sum is σ = 270000328. Its totient is φ = 31933440.

The previous prime is 96138283. The next prime is 96138307. The reversal of 96138288 is 88283169.

96138288 is a `hidden beast` number, since 9 + 613 + 8 + 28 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (96138283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46656 + ... + 48672.

Almost surely, 2^96138288 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 96138288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135000164).

96138288 is an abundant number, since it is smaller than the sum of its proper divisors (173862040).

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

96138288 is a wasteful number, since it uses less digits than its factorization.

96138288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2353 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 96138288 is about 9805.0134115156. The cubic root of 96138288 is about 458.1054529845.

It can be divided in two parts, 96 and 138288, that added together give a square (138384 = 372²).

The spelling of 96138288 in words is "ninety-six million, one hundred thirty-eight thousand, two hundred eighty-eight".