116517408 has 96 divisors (see below), whose sum is σ = 358162560. Its totient is φ = 32471040.

The previous prime is 116517407. The next prime is 116517433. The reversal of 116517408 is 804715611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (116517407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25438 + ... + 29666.

It is an arithmetic number, because the mean of its divisors is an integer number (3730860).

Almost surely, 2^116517408 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 116517408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179081280).

116517408 is an abundant number, since it is smaller than the sum of its proper divisors (241645152).

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

116517408 is a wasteful number, since it uses less digits than its factorization.

116517408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 116517408 is about 10794.3229523671. The cubic root of 116517408 is about 488.4239351153.

The spelling of 116517408 in words is "one hundred sixteen million, five hundred seventeen thousand, four hundred eight".