96617040 has 160 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 23513088.

The previous prime is 96617029. The next prime is 96617047. The reversal of 96617040 is 4071669.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 96616992 and 96617010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96617047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 539671 + ... + 539849.

It is an arithmetic number, because the mean of its divisors is an integer number (2038932).

Almost surely, 2^96617040 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 96617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

96617040 is an abundant number, since it is smaller than the sum of its proper divisors (229612080).

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

96617040 is a wasteful number, since it uses less digits than its factorization.

96617040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 96617040 is about 9829.3967261475. The cubic root of 96617040 is about 458.8646227649.

The spelling of 96617040 in words is "ninety-six million, six hundred seventeen thousand, forty".