116406720 has 196 divisors, whose sum is σ = 416433000. Its totient is φ = 30979584.

The previous prime is 116406707. The next prime is 116406739. The reversal of 116406720 is 27604611.

116406720 is a `hidden beast` number, since 11 + 640 + 6 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×116406720³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233031 + ... + 233529.

Almost surely, 2^116406720 is an apocalyptic number.

116406720 is a gapful number since it is divisible by the number (10) 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 116406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208216500).

116406720 is an abundant number, since it is smaller than the sum of its proper divisors (300026280).

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

116406720 is an frugal number, since it uses more digits than its factorization.

116406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 116406720 is about 10789.1945945932. The cubic root of 116406720 is about 488.2692234781.

The spelling of 116406720 in words is "one hundred sixteen million, four hundred six thousand, seven hundred twenty".