116673600 has 168 divisors, whose sum is σ = 388030720. Its totient is φ = 30689280.

The previous prime is 116673593. The next prime is 116673611. The reversal of 116673600 is 6376611.

It is a super-2 number, since 2×116673600² = 27225457873920000, 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, 523089 + ... + 523311.

Almost surely, 2^116673600 is an apocalyptic number.

116673600 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 116673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194015360).

116673600 is an abundant number, since it is smaller than the sum of its proper divisors (271357120).

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

116673600 is a wasteful number, since it uses less digits than its factorization.

116673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 116673600 is about 10801.5554435461. Note that the first 3 decimals coincide. The cubic root of 116673600 is about 488.6420823429.

The spelling of 116673600 in words is "one hundred sixteen million, six hundred seventy-three thousand, six hundred".