96216480 has 144 divisors (see below), whose sum is σ = 331891560. Its totient is φ = 25380864.

The previous prime is 96216457. The next prime is 96216503. The reversal of 96216480 is 8461269.

96216480 is a `hidden beast` number, since 9 + 6 + 2 + 1 + 648 + 0 = 666.

It is a Cunningham number, because it is equal to 9809²-1.

It is an interprime number because it is at equal distance from previous prime (96216457) and next prime (96216503).

It can be written as a sum of positive squares in 4 ways, for example, as 53758224 + 42458256 = 7332^2 + 6516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×96216480² = 18515222047180800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156654 + ... + 157266.

Almost surely, 2^96216480 is an apocalyptic number.

96216480 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 96216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165945780).

96216480 is an abundant number, since it is smaller than the sum of its proper divisors (235675080).

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

96216480 is a wasteful number, since it uses less digits than its factorization.

96216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96216480 is about 9808.9999490264. Note that the first 4 decimals coincide. The cubic root of 96216480 is about 458.2296160539.

The spelling of 96216480 in words is "ninety-six million, two hundred sixteen thousand, four hundred eighty".