96117840 has 400 divisors, whose sum is σ = 413390208. Its totient is φ = 20155392.

The previous prime is 96117839. The next prime is 96117841. The reversal of 96117840 is 4871169.

It is an interprime number because it is at equal distance from previous prime (96117839) and next prime (96117841).

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

It is a junction number, because it is equal to n+sod(n) for n = 96117795 and 96117804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96117841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589599 + ... + 589761.

Almost surely, 2^96117840 is an apocalyptic number.

96117840 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 96117840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206695104).

96117840 is an abundant number, since it is smaller than the sum of its proper divisors (317272368).

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

96117840 is a wasteful number, since it uses less digits than its factorization.

96117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 96117840 is about 9803.9706241910. The cubic root of 96117840 is about 458.0729719799.

The spelling of 96117840 in words is "ninety-six million, one hundred seventeen thousand, eight hundred forty".