116264064 has 192 divisors, whose sum is σ = 371165760. Its totient is φ = 32126976.

The previous prime is 116264053. The next prime is 116264077. The reversal of 116264064 is 460462611.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696109 + ... + 696275.

It is an arithmetic number, because the mean of its divisors is an integer number (1933155).

Almost surely, 2^116264064 is an apocalyptic number.

116264064 is a gapful number since it is divisible by the number (14) 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 116264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185582880).

116264064 is an abundant number, since it is smaller than the sum of its proper divisors (254901696).

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

116264064 is a wasteful number, since it uses less digits than its factorization.

116264064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 116264064 is about 10782.5815090821. The cubic root of 116264064 is about 488.0696845754.

The spelling of 116264064 in words is "one hundred sixteen million, two hundred sixty-four thousand, sixty-four".