116268768 has 288 divisors, whose sum is σ = 424569600. Its totient is φ = 29917440.

The previous prime is 116268739. The next prime is 116268787. The reversal of 116268768 is 867862611.

It is a happy number.

116268768 is a `hidden beast` number, since 11 + 626 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086571 + ... + 1086677.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^116268768 is an apocalyptic number.

116268768 is a gapful number since it is divisible by the number (18) 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 116268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

116268768 is an abundant number, since it is smaller than the sum of its proper divisors (308300832).

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

116268768 is a wasteful number, since it uses less digits than its factorization.

116268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 116268768 is about 10782.7996364581. The cubic root of 116268768 is about 488.0762668582.

The spelling of 116268768 in words is "one hundred sixteen million, two hundred sixty-eight thousand, seven hundred sixty-eight".