96617016 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 32104800.

The previous prime is 96617011. The next prime is 96617021. The reversal of 96617016 is 61071669.

It is an interprime number because it is at equal distance from previous prime (96617011) and next prime (96617021).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96617011) 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, 105601 + ... + 106511.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2^96617016 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 96617016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

96617016 is an abundant number, since it is smaller than the sum of its proper divisors (172605384).

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

96617016 is a wasteful number, since it uses less digits than its factorization.

96617016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96617016 is about 9829.3955053197. The cubic root of 96617016 is about 458.8645847704.

The spelling of 96617016 in words is "ninety-six million, six hundred seventeen thousand, sixteen".