96601248 has 168 divisors, whose sum is σ = 294991956. Its totient is φ = 31104000.

The previous prime is 96601237. The next prime is 96601249. The reversal of 96601248 is 84210669.

96601248 is a `hidden beast` number, since 9 + 6 + 601 + 2 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96589584 + 11664 = 9828^2 + 108^2 .

It is a super-2 number, since 2×96601248² = 18663602230315008, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (96601249) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 956398 + ... + 956498.

Almost surely, 2^96601248 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 96601248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147495978).

96601248 is an abundant number, since it is smaller than the sum of its proper divisors (198390708).

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

96601248 is a wasteful number, since it uses less digits than its factorization.

96601248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

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

The square root of 96601248 is about 9828.5933886798. The cubic root of 96601248 is about 458.8396210159.

The spelling of 96601248 in words is "ninety-six million, six hundred one thousand, two hundred forty-eight".