116424000 has 672 divisors, whose sum is σ = 542056320. Its totient is φ = 24192000.

The previous prime is 116423947. The next prime is 116424031. The reversal of 116424000 is 424611.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10583995 + ... + 10584005.

Almost surely, 2^116424000 is an apocalyptic number.

116424000 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 116424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271028160).

116424000 is an abundant number, since it is smaller than the sum of its proper divisors (425632320).

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

116424000 is a wasteful number, since it uses less digits than its factorization.

116424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 116424000 is about 10789.9953660787. The cubic root of 116424000 is about 488.2933826639.

Adding to 116424000 its reverse (424611), we get a palindrome (116848611).

The spelling of 116424000 in words is "one hundred sixteen million, four hundred twenty-four thousand".