116558400 has 168 divisors, whose sum is σ = 437164480. Its totient is φ = 26634240.

The previous prime is 116558363. The next prime is 116558437. The reversal of 116558400 is 4855611.

It is an interprime number because it is at equal distance from previous prime (116558363) and next prime (116558437).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×116558400² = 27171721221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31866 + ... + 35334.

Almost surely, 2^116558400 is an apocalyptic number.

116558400 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 116558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218582240).

116558400 is an abundant number, since it is smaller than the sum of its proper divisors (320606080).

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

116558400 is a wasteful number, since it uses less digits than its factorization.

116558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 116558400 is about 10796.2215612686. The cubic root of 116558400 is about 488.4812058895.

The spelling of 116558400 in words is "one hundred sixteen million, five hundred fifty-eight thousand, four hundred".