96178000 has 80 divisors (see below), whose sum is σ = 244895040. Its totient is φ = 36432000.

The previous prime is 96177979. The next prime is 96178009. The reversal of 96178000 is 87169.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96178009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36735 + ... + 39265.

It is an arithmetic number, because the mean of its divisors is an integer number (3061188).

Almost surely, 2^96178000 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 96178000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122447520).

96178000 is an abundant number, since it is smaller than the sum of its proper divisors (148717040).

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

96178000 is a wasteful number, since it uses less digits than its factorization.

96178000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 96178000 is about 9807.0382889025. The cubic root of 96178000 is about 458.1685210912.

It can be divided in two parts, 961 and 78000, that added together give a square (78961 = 281²).

The spelling of 96178000 in words is "ninety-six million, one hundred seventy-eight thousand".