116406510 has 64 divisors (see below), whose sum is σ = 306685440. Its totient is φ = 28042880.

The previous prime is 116406491. The next prime is 116406517. The reversal of 116406510 is 15604611.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116406517) 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, 56071 + ... + 58109.

It is an arithmetic number, because the mean of its divisors is an integer number (4791960).

Almost surely, 2^116406510 is an apocalyptic number.

116406510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116406510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342720).

116406510 is an abundant number, since it is smaller than the sum of its proper divisors (190278930).

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

116406510 is a wasteful number, since it uses less digits than its factorization.

116406510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 116406510 is about 10789.1848626298. The cubic root of 116406510 is about 488.2689298622.

The spelling of 116406510 in words is "one hundred sixteen million, four hundred six thousand, five hundred ten".