116073600 has 192 divisors, whose sum is σ = 389305440. Its totient is φ = 30392320.

The previous prime is 116073599. The next prime is 116073611. The reversal of 116073600 is 6370611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1027144 + ... + 1027256.

Almost surely, 2^116073600 is an apocalyptic number.

116073600 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 116073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194652720).

116073600 is an abundant number, since it is smaller than the sum of its proper divisors (273231840).

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

116073600 is a wasteful number, since it uses less digits than its factorization.

116073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 116073600 is about 10773.7458666891. The cubic root of 116073600 is about 487.8030200254.

The spelling of 116073600 in words is "one hundred sixteen million, seventy-three thousand, six hundred".