116653824 has 144 divisors (see below), whose sum is σ = 394410240. Its totient is φ = 33315840.

The previous prime is 116653811. The next prime is 116653853. The reversal of 116653824 is 428356611.

It is a happy number.

116653824 is a `hidden beast` number, since 116 + 6 + 538 + 2 + 4 = 666.

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

It is a super-2 number, since 2×116653824² = 27216229307645952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47179 + ... + 49589.

It is an arithmetic number, because the mean of its divisors is an integer number (2738960).

Almost surely, 2^116653824 is an apocalyptic number.

116653824 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 116653824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197205120).

116653824 is an abundant number, since it is smaller than the sum of its proper divisors (277756416).

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

116653824 is an equidigital number, since it uses as much as digits as its factorization.

116653824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443 (or 2423 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116653824 is about 10800.6399810382. The cubic root of 116653824 is about 488.6144727498.

The spelling of 116653824 in words is "one hundred sixteen million, six hundred fifty-three thousand, eight hundred twenty-four".