96546240 has 168 divisors, whose sum is σ = 379597920. Its totient is φ = 22063104.

The previous prime is 96546227. The next prime is 96546251. The reversal of 96546240 is 4264569.

96546240 is a `hidden beast` number, since 96 + 546 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 96546195 and 96546204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17766 + ... + 22554.

Almost surely, 2^96546240 is an apocalyptic number.

96546240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189798960).

96546240 is an abundant number, since it is smaller than the sum of its proper divisors (283051680).

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

96546240 is a wasteful number, since it uses less digits than its factorization.

96546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 96546240 is about 9825.7946243548. The cubic root of 96546240 is about 458.7525115747.

The spelling of 96546240 in words is "ninety-six million, five hundred forty-six thousand, two hundred forty".