96945048 has 96 divisors (see below), whose sum is σ = 271711440. Its totient is φ = 31207680.

The previous prime is 96945031. The next prime is 96945053. The reversal of 96945048 is 84054969.

It is a happy number.

It is a super-3 number, since 3×96945048³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 96944994 and 96945012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535518 + ... + 535698.

Almost surely, 2^96945048 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 96945048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135855720).

96945048 is an abundant number, since it is smaller than the sum of its proper divisors (174766392).

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

96945048 is a wasteful number, since it uses less digits than its factorization.

96945048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 96945048 is about 9846.0676414496. The cubic root of 96945048 is about 459.3833071939.

The spelling of 96945048 in words is "ninety-six million, nine hundred forty-five thousand, forty-eight".