96336144 has 240 divisors, whose sum is σ = 313372800. Its totient is φ = 27439104.

The previous prime is 96336131. The next prime is 96336157. The reversal of 96336144 is 44163369.

96336144 is a `hidden beast` number, since 9 + 6 + 33 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (96336131) and next prime (96336157).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 96336099 and 96336108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632787 + ... + 1632845.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^96336144 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 96336144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156686400).

96336144 is an abundant number, since it is smaller than the sum of its proper divisors (217036656).

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

96336144 is a wasteful number, since it uses less digits than its factorization.

96336144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 96336144 is about 9815.0977580460. The cubic root of 96336144 is about 458.4195033870.

The spelling of 96336144 in words is "ninety-six million, three hundred thirty-six thousand, one hundred forty-four".