96006144 has 104 divisors (see below), whose sum is σ = 276134992. Its totient is φ = 29491200.

The previous prime is 96006121. The next prime is 96006167. The reversal of 96006144 is 44160069.

It is an interprime number because it is at equal distance from previous prime (96006121) and next prime (96006167).

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159444 + ... + 160044.

Almost surely, 2^96006144 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 96006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138067496).

96006144 is an abundant number, since it is smaller than the sum of its proper divisors (180128848).

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

96006144 is a wasteful number, since it uses less digits than its factorization.

96006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 96006144 is about 9798.2725008034. The cubic root of 96006144 is about 457.8954650412.

It can be divided in two parts, 9600 and 6144, that multiplied together give a square (58982400 = 7680²).

The spelling of 96006144 in words is "ninety-six million, six thousand, one hundred forty-four".