116906328 has 288 divisors, whose sum is σ = 418279680. Its totient is φ = 29937600.

The previous prime is 116906323. The next prime is 116906329. The reversal of 116906328 is 823609611.

116906328 is a `hidden beast` number, since 1 + 16 + 9 + 0 + 632 + 8 = 666.

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 = 116906292 and 116906301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116906323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646533 + ... + 1646603.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^116906328 is an apocalyptic number.

116906328 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 116906328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

116906328 is an abundant number, since it is smaller than the sum of its proper divisors (301373352).

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

116906328 is a wasteful number, since it uses less digits than its factorization.

116906328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116906328 is about 10812.3229696490. The cubic root of 116906328 is about 488.9667635207.

The spelling of 116906328 in words is "one hundred sixteen million, nine hundred six thousand, three hundred twenty-eight".