116784864 has 144 divisors (see below), whose sum is σ = 387065952. Its totient is φ = 32707584.

The previous prime is 116784853. The next prime is 116784893. The reversal of 116784864 is 468487611.

116784864 is a `hidden beast` number, since 1 + 167 + 8 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 106302 + ... + 107394.

It is an arithmetic number, because the mean of its divisors is an integer number (2687958).

Almost surely, 2^116784864 is an apocalyptic number.

116784864 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 116784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193532976).

116784864 is an abundant number, since it is smaller than the sum of its proper divisors (270281088).

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

116784864 is a wasteful number, since it uses less digits than its factorization.

116784864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 116784864 is about 10806.7045855802. The cubic root of 116784864 is about 488.7973616843.

The spelling of 116784864 in words is "one hundred sixteen million, seven hundred eighty-four thousand, eight hundred sixty-four".